# can someone please explain synthetic division to me?

87,691 results

### algebra 2

can someone please explain synthetic division to me? It's just a specialized way to divide a polynomial by a linear factor using long division. I don't see the reason why anyone would want to learn this technique, because it's just long division. If you type "synthetic ...

### algebra

Use synthetic division to find P(3) for P(x)=x^4-6x^3-4x^2-6x-2 Can someone please explain

### Algebra

Use synthetic division to find P(3) for P(x) = x^4 - 6x^3 - 4x^2 - 6x - 2 I don't know how to solve this, can someone explain how please?

### Math 17 Synthetic Division

Using synthetic division, divide (x^6)(y^6) by x-y. please show the process. THANK YOU! :)

### Algebra 2 help please :)

What is a cubic polynomial function in standard form with zeros 1, –2, and 2? Use synthetic division to find P(3) for P(x) = x^4 – 6x^3 – 4x^2 – 6x – 2. Divide 3x^3 + 3x^2 + 2x – 2 by x + 3 using long division. Divide using synthetic division. –3x3 + 11x2 – x...

### Long and synthetic division

please check my answers and help me with the last one please, I cant get it to come out right. Divide using long division or synthetic division. 2.(x^2 + 13x + 40)/ (x + 5) I got x + 8 5. 3m^3+7m^2-16m+16/ m+4 i got 3m^2-5m+4 7.(21x^3 - 7)/(3x - 1)(this one I cant get the ...

### Algebra

Divide using long division or synthetic division. (21x^3 - 7)/(3x - 1) Just wondering, how would you solve this problem using synthetic division?

### Algebra

Divide using long division or synthetic division. (21x^3 - 7)/(3x - 1) Just wondering, how would you solve this problem using synthetic division?

### algebra

Can someone please explain these problems to me I have tried and cannot figure them out. 1)Use synthetic division to find p(-3) for p(x)=x^4-2x^3-4x+4 2)Find all the zeroes of the equation x^4-6x^2-7x-6=0

### Calculus

Let f(x)=(2x^3-x^2+2x+1)/(x^2+1). What is the equation of the oblique asymptote of f(x)? Can someone show me how to do the long division one for this question. I have always used synthetic division but realized there are some questions that require to do long division.

### Algebra

Divide by synthetic division (x^4-15x^2 +38x-60)/(x-3) Can someone please help with this.

### Functions

If f(x)=2x^4-9x^3+6x-5, then use synthetic division to find f(6) What is synthetic division? How do I solve this?

### Long/synthetic divison

Divide using long division or synthetic division. (21x^3 - 7)/(3x - 1) This is what I have so far, but I am having a hard time with what to do next. 3x-1/ 7(3x^3-1)

### Algebra

please help me with this question and check my answers. Solve the problem. A rectangle with width 2x + 5 inches has an area of 2x4 + 9x3 - 12x2 - 79x - 60 square inches. Write a polynomial that represents its length. ( I don't know how to solve this problem) Use synthetic ...

### Pre Calc (For Reiny)

Thanks so much your method worked perfectly! My solution was: the remaining zeros were 5+2i, 3, and -4 I have one question that's bugging me though, why is it that synthetic division did not work for me? I thought that long division and synthetic division were both ...

### polynomial/synthetic or long division

If the polynomial x^3+6x^2+11x+6 expresses the volume, in cubic inches, of the box, and the width is (x+1)in., what are the dimensions of the box? I need to answer the question in long dvision or synthetic division, the thing is i have no idea how to do either of those. quick ...

### Pre Calc

I am familiar with this type of problem but can't seem to get the right answer. Use the given zero to find the remaining zeros of each function f(x)=x^4-9x^3+7x^2-91x-348,zero 5-2i I normally would use synthetic division with the root 5-2i bringing it down to x^3. Then ...

### Algebra

(4x^3-9x+8x^2-18)/(x+2)-use synthetic division to divide. I set it up like this (pretend the parentheses are the synthetic division box). (-2) 4 8 -27 4 0 -27. For remainders, according to my book, we're supposed to divide the remainder by the divisor. So it would be -27/-2. ...

### math

Divide the following by both long division and synthetic division a). x^3 + x^2 - 2x + 4 by x-2 b). x^5 + 4x^4 + x^3 - x^2 + 2x - 7

### algebra

The equation f(x) = 3x^3 + 10x^2 - 16x - 32 has a root at x = -4 a) Find the depressed equation using synthetic division and the root given. Factor out any constants that may appear. b) Factor the depressed equation (which is now a quadratic) using any method EXCEPT synthetic ...

### trig

The equation f(x) = 3x^3 + 10x^2 - 16x - 32 has a root at x = -4 a) Find the depressed equation using synthetic division and the root given. Factor out any constants that may appear. b) Factor the depressed equation (which is now a quadratic) using any method EXCEPT synthetic ...

### Algebra HELP

h(x)= 3x^(5) + 2x^(4) + 15x^(3) + 10x^(2) - 528x - 352 for this equation how would I know to use the square root of 11 in synthetic division to be a factor? I used the p / q list but I did not get sqt root of 11 as a possible factor. could someone help please.

Divide using long division or synthetic division. (21x^3 - 7)/(3x - 1) This is what I have so far, but I am having a hard time with what to do next. 3x-1/ 7(3x^3-1)

### Algebra

Use synthetic division and the Remainder Theorem to find P(-5) if P(x) = -x^3 - 4x^2 + x - 2. Please help....?

### Algebra

Divide using long division: 6x3 + 19x2 + x – 10 divided by 2x -1 Divide using synthetic division: 2x3 + 2x2 + 10 divided by x + 3 PLEASE HELP!

### Algebra

The book said to replace the x with a zero. Why are two zero's used in the division of this problem. (synthetic division) 21. -3)3 0 0 82 0 0 27 -9 27 -81 -3 9 -27 3 -9 27 1 -3 9 0 Remainder = 0 so that means x+3 is a factor of 3x6+82x3+27

### Algebra

Factor find the zeros x^5-9x^3 Find the quotient and remainder using long division (x^3-x^2-2x+6)/(x-2) Use sythetic division and remainder therem to evalulate P(c) Let P(x)= 6x^7-40x^6+16x^5-200x^4-60x^3-69x^2+13x-… *Calculate P(7) by (a) using synthetic division and (b) ...

### Math

Can someone explain this question to me? I don't understand it. Show how to find the quotient 18 divided by (-6) by using A. The ideas of division as finding a missing factor. B. The procedures for integer division. Thanks.

Use synthetic division and the given factor to completely factor the polynomial. x^3-x^2-24x-36; (x-6) How do I do this?

### precalculus

x^5-2x^4+x^2-7x+1 ----------------- x+1 do synthetic division

### Algebra II

The question reads: Use synthetic division to find P(2) for P(x) = x^4 - 8x^3 - 8x^2 - 10x - 2 I have no idea how to do this problem. Could someone give me a step by step explanation or link me to somewhere I can find out how?

### Algebra ll

Consider the function f(x) = x4 – 3x3 – 7x2 + 15x + 18. Use synthetic division to divide f(x) by x – 3. Use the answer to explain whether or not x – 3 is a factor of f(x).Factor f(x) completely.

### algebra 2

how do u do synthetic division with the problem: (x^5-7x^3+x+1)/ x+3

### Precalc

Hello, good afternoon. I need help with my precalc hw. we are learning about finding zeros I don't which method I should use for this problem: if i is a zero of x^3+3x^2+ix+(4+i) what do i do? synthetic divison? or long division? when i did long division i got a werid ...

### Algebra

synthetic division find f(-2) f(x)=2x^4+4x^3+2x^2+3x+8 -2 2 4 2 3 8 -4 0 -4 2 2 0 2 -1 10 f(2)=10 check f(x)=2(-2)^4+4(-2)^3+2(-2)^2+3(-2)+8 f(x)=10

### Algebra

What is synthetic division? (rational expressions)

### akgebra 2

Use synthetic division to divide x^4+4x^3+6x^2+4x+1 by x+1

### math

Which set of integers is not closed under what operation? + - x Division I thought it was division but I don't understand , can you please explain this. Thanks

### Math

Explain, in words, the steps to finding all zeros of a polynomial. 1. Synthetic division 2. Simple diamond or dimond grouping 3. set your answer to zero Idk if thats all the steps

### Math

Use synthetic division to determine which pair of integers provide both a lower and an upper bound for the zeros of f(x)= x^5-2x^4-25x^3+50x^2+144x-290 PLEASE SHOW WORK!!!

### Algebra

Use synthetic division to divide the polynomial 2x^3 – 12x – 5 by x + 4, and write the quotient polynomial and the remainder. [Be careful – notice that there is no x^2 term.] Please Show work.

### Precalculus(URGENT)

solve the problem 2xcubed-17xsquared+31x+20 given that 5 is a zero of f(x)= 2xcubed-17xsquared+31x+20 you can use lobng division or synthetic division

### Algebra

use synthetic division to find (2x^3 -5x^2 +7x-1) divided (x-1)

### calculus

p(x)=5x^3-4x^2+20-16 use synthetic division to show that x=2i is a zero of p(x)

### colllege algebra

use synthetic division to factor x^3-2x^2-9x+18

### Functions & Trig

evaluate each function at the given value: f(n)=-n^6+31n^4+26n^3+20n^2+-33n-20 when n=6 I was thinking that I should do synthetic division, but I've tried it a few times and I can't get it to work out correctly. Please help!

### Functions & Trig

evaluate each function at the given value: f(n)=-n^6+31n^4+26n^3+20n^2+-33n-20 when n=6 I was thinking that I should do synthetic division, but I've tried it a few times and I can't get it to work out correctly. Please help!

### math

Use synthetic division to find the quotient and remainder. (r^2-2r+2), (r-1)

### Math

Find the Synthetic Division: (10x^4-50x^3-800)/(x-6)

### Math

Find the Synthetic Division: (10x^4-50x^3-800)/(x-6)

### Algebra2

Use synthetic division to find p(3) for p(x)=x^4-2x^3-4x+4 Show steps

Use synthetic division to show that x is a solution of the third-degree polynomial equation, and use the result to factor the polynomial completely. List all the real zeros of the function. x^3 - 28x - 48 = 0 Value of x = -4 Please help!!Thank you

### PRE-CALC

I am having touble understanding: how to factor the polynomial : 8x^4 -6x^3 -57x^2 -6x-65, into its linear factors, given that i is a zero. I tried to use synthetic division, but i keep getting a remainder... please help me understand how to solve it.

### Algebra II (check)

Use synthetic division to find (2x^3 - 5x^2 + 7x - 1). _1|2 -5 7 -1 2 -3 _____________ 2 -3 4|-1 2x^2 - 3x + 4(answer)

### Algebra

Use synthetic division to find the quotient and the remainder of: (x^3-7x^2+13x+3)/(x-2)

### Math

Use synthetic division to divide. (4x3 + 26x2 + 10x - 12) ÷ (x + 6)

### Algebra 2

When x² - 3x + 2k is divided by x + 2, the remainder is 7. Find the value of k. Use synthetic division to do so.

### Factoring

2x^2+3x-7 i cant find a zero to use synthetic division with this. They don't work. What am I doing wrong? Thanks!

### math

Use synthetic division and the Remainder Theorem to find the indicated function value. f(x) = x5 - 8x4 - 9x3 - 6; f(3) I keep coming up with the answer of -222, but that is not an option... I don't know what I'm doing wrong!!! PLEASE HELP--I only have 20 mins left to submit ...

### Algebra 2

Use synthetic division to find P(3) for P(x) = x4 – 6x3 – 4x2 – 6x – 2 3 –137 299 –47

### math

Use synthetic division to evaluate the polynomial function for the given value of x. f(x)= 2x^5-x^3+7x+1, x = 3

### math

use synthetic division (x^3+6x^2-6x+3)/ (x-6) I got 1 0 -6 -33 so I put it in an equation Quotient: x -6 Remainder -33 Is this right?

### Math

x^4-4x^3+3x^2+8x-16 Find the zeroes given one is x^2-x-4. I don't know what to do now. i tried synthetic division. pls help : D

### Precalculus

x^4-4x^3+3x^2+8x-16 Find the zeroes given one is x^2-x-4. I don't know what to do now. i tried synthetic division. pls help : D

### Math

x^4-4x^3+3x^2+8x-16 Find the zeroes given one is x^2-x-4. I don't know what to do now. i tried synthetic division. pls help : D

### math

find the zeroes of g(x)=(x^2-5x-6)/(x^2-9) I know i suppose to use synthetic division, but the denominator has x^2 in it. Does this matter or do I just divide by -9

### algebra

for the function g(x)=5x^6-3x^3+x^2-x, list the possible rational zeros of g(x) and then use synthetic division to factor g(x) completely.

### College Alg

Use synthetic division and the Remainder Theorem to evaluate P(c). P(x) = 5x5 + 10x3 + x + 1, c = −2 p(-2)=

### Enriched science

What is the goal of synthetic biology? A. The goal of synthetic biology is to mimic living cells B. The goal of Synthetic biology is to generate new tissues to replace damage tissues C. The goal of synthetic biology is to engineer living cells to perform specific functions D. ...

### Math

Use synthetic division to find the quotient and remainder: (2x^5-7x^3-5x^2+1)/(x-2) This is what I got: Quotient: 2x^4+4x^3+x^2-3x-6 Remainder: -11 Do i just leave the quotient like this: 2x^4+4x^3+x^2-3x-6? Do I need to factor it down more? please help and thank you

### College Algrebra

How would you use synthetic division to find the quotient and remainder for this problem: (X^3+3ix^2-4ix-2)/(x+i)

### Pre-Calculus

Find a quadratic function f such that f(1)=3, f(2)=5/2, f(-1)=1 I came out with 3 a+b+c=3, 4a+2b+c=5/2, a-b+c=1. And I know that I should do synthetic division but I am stuck.

please is anyone can help me to differentiate betwee them. i am really have a confuse with them.thanks a.analytic vs.manufacturing b.analytic vs.synthetic c.synthetic vs.fabricating process

### pre cal

Use synthetic division to show that x is a solution of the third-degree polynomial equation, and use the result to factor the polynomial completely. List all the real zeros of the function. x^3 - 28x - 48 = 0 Value of x = -4 Please help!!Thank you

### Algebra

What do you do in synthetic division when there's a two digit number? For example, this is what I'm synthetically dividing 3 2 5 7 3 3 1 8 8 times three is 24, so what should I do? Thanks for your help Tatie

### Alg2.

4x^5 -2x^3 +2x +4 by 2x+1 synthetic division Would it be like this: 2x+1=0 ; x=-1/2 -1/2 |4 0 -2 0 2 4 | -2 1 .5 0 -1 |___________________ 4 -2 -1 .5 2 3 4x^4 -2x^3 -x^2 +.5x +2 R 3/2x+1 Is this correct? Can you check my answer multiplied by 2x+1 to see if it gives me the ...

### Algebra 2

Using synthetic division: x^3 + 4x^2 - 3x - 12 / x^2 - 3 Write it out like a long division problem. x^-3 goes into x^3 + 4x^2 -3x -12x times. This is the first term of the answer. Multiply x by x^2 -3 and write the product under the dividend. That would be x^3 -3x. Subtract x^...

### Long Division

I need examples on how to help my son do his homework. I'ts Long Division divide Multiply, Subtract then Pull down i have no idea how to do this can someone please help me??? examples on: 8divided by 96 and 6 divided by 84

### Urgent math

Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x), and express P in the form P(x) = D(x) · Q(x) + R(x). P(x) = 4x3 + 5x + 9, D(x) = 2x + 1 P(x) =(2x + 1)*()+

### Art

What is synthetic resin preferable to natural resin? A. synthetic resin will not yellow, crack, or dissolve in liduid. B. synthetic resin will not yellow, obscure, or damage in paint. C. synthetic resin will not destroy paint pigment, crack, or yellow the painting. D. ...

### Math Algebra

The natural numbers are closed under division. true or false? the integers are closed under division. true or false? please explain, my teacher did not explain it at all!

### Algebra 2

x^4+2x^3+2x-1 hint: -i is a zero I'm not sure how to approach this question. I tried using the synthetic division but that just seems to complicate it. Maybe I'm doing it wrong. Pls help :D

### Art

What is synthetic resin preferable to natural resin? A. synthetic resin will not yellow, crack, or dissolve in liduid. B. synthetic resin will not yellow, obscure, or damage in paint. C. synthetic resin will not destroy paint pigment, crack, or yellow the painting. D. ...

### ap algebra

Please help me with this problem. I don't know what to do. Use the graph or table to determine a solution of the equation. Use synthetic division to verify that this number is a solution of the equation. Then solve the polynomial equation. x3 + 6x2 + 11x + 6 = 0

### college algebra

for the function g(x)=5x^6-3x^3+x^2-x, list the possible rational zeros of g(x) and then use synthetic division to factor g(x) completely. ***i'm confused, doesn't this problem need a constant?****

### Pre-Calculus

Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x),and express the quotient P(x)/D(x) in the form P(x)D(x) = Q(x)+ R(x)D(x) . P(x) = 6x^4 − 3x^3 + 29x^2, D(x) = 3x^2 + 13

### Math

synthetic division and the factor theorm indicate that x-3 is a factor of x^3-x^2-x-15.... true or false?

### Precalc factoring

im stuck on factoring (x-1)(2x^3+13x^2+8x-35) do i use synthetic division? if so what zero? thnks.

### Factoring- precalc

im stuck on factoring (x-1)(2x^3+13x^2+8x-35) do i use synthetic division? if so what zero? thnks.

### Algebra

Need some help with using synthetic division to find the function value of this problem: f(x)=2x^4+4x^3+2x^2+3x+8;find f(-2)

### College Algebra

Find all the zeros of the polynomial function by using the Rational Zero Theorem, Descartes Rule of Signs and Synthetic Division. f(x)=x^3-3x^2-33x+35

### Pre-Calculus

f(x) = 7x^3 + 8x^2 - 3x + 8 Find f(7) using synthetic division, and list the numbers in the bottom row of the division. My answer: The numbers in the bottom row are 7, 58, 403, and 2829. The answer is 7x^2 + 58x + 403 + 2829/x - 7.

### economics

Assume there are three markets: A: Wool; B: Synthetic Fiber; C: Business Travel. Assume we are in the years after the introduction of synthetic fibers. Using demand and supply analysis explain what happens in the SHORT RUN in all three markets and why?

### economics

Assume there are three markets: A: Wool; B: Synthetic Fiber; C: Business Travel. Assume we are in the years after the introduction of synthetic fibers. Using demand and supply analysis explain what happens in the SHORT RUN in all three markets and why?

### Troy

Can someone check my answers for the following problems. Simplify. Assume that no denominator equals 0. 1)(7x^2+3x-9)-(-x^2+8x-3) answer: 6x^2-5x-6 2) 5x^3(7x)^2 answer: 245x^5 3) (2x-3)^2 answer: 4x^2-9 4) Use synthetic division to find (2x^3-5x^2+7x-1)/(x-1) answer: 3 5)...

### Math

Use synthetic division and the remainder theorem to find the value 3x^3-5x2-6x+4 f(-5) I got a remainder of -466 is this correct

### Maths-can someone explain something to me???

hey, can someone explain vectors to me? im soooooo lost, I don't understand them at ALL. please please please help me. :(

### algebra II

Help me solve this problem that I missed, so that I can see where I went wrong. Synthetic Division (3X3 -2x +5). (x-2) I would set it up with the following algorithm to do synthetic division (this is how I do it and how I taught it, the ----- are simply there to keep the ...

### Alg 2

Is there another way to find the roots of 3rd degree and higher polynomials instead of using trial and error (using synthetic division)?