Thursday

April 2, 2015

April 2, 2015

Posted by **lee** on Sunday, November 25, 2012 at 3:15pm.

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

- algebra -
**Henry**, Tuesday, November 27, 2012 at 10:27pm1. X = -3.

x+3 = 0.

Using synthetic division, divide the given expression by x+3. You will get

x^3 - 5x^2 + 15x - 49. + 151 Remainder.

The fact that we got a remainder, means that x+3 is not a factor of the given

expression and -3 is not a zero. Which

means it will not give zero output when plugged into the Eq.

2. All values of X that satisfy the given Eq is a "zero" of the Eq.

x^4 - 6x^2 - 7x - 6 = 0.

It was determined by trial and error that -2 satisfies the given Eq.

X = -2.

x+2 = 0

Divide the given Eq by x+2 and get

x^3 - 2x^2 - 2x -3. + 0 Remainder.

(x+2)(x^3-2x^2-2x-3) = 0.

3 satisfies the cubic polynomial:

x = 3.

x-3 = 0.

Divide the cubic polynomial by x-3 and

get x^2+x+1 + 0 Remainder.

Our Eq 1s: (x+2)(x-3)(x^2+x+1) = 0.

The 2nd degree polynomial cannot be

factored and has no zeroes, because

B^2 < 4AC. Therefore, the original Eq

has only 2 zeroes: -2, and 3.

OR

(x,y)

(-2,0)

(3,0).

**Answer this Question**

**Related Questions**

Algebra - please help me with this question and check my answers. Solve the ...

algebra - Use synthetic division to find P(3) for P(x)=x^4-6x^3-4x^2-6x-2 Can ...

Math - x^4-4x^3+3x^2+8x-16 Find the zeroes given one is x^2-x-4. I dont know ...

Precalculus - x^4-4x^3+3x^2+8x-16 Find the zeroes given one is x^2-x-4. I dont ...

Math - x^4-4x^3+3x^2+8x-16 Find the zeroes given one is x^2-x-4. I dont know ...

algebra - The equation f(x) = 3x^3 + 10x^2 - 16x - 32 has a root at x = -4 a) ...

Algebra 2 help please :) - What is a cubic polynomial function in standard form ...

Algebra II - The question reads: Use synthetic division to find P(2) for P(x) = ...

math - find the zeroes of g(x)=(x^2-5x-6)/(x^2-9) I know i suppose to use ...

College Algebra - I need a little help with this problem. P(x)=2x^4-17x^3+47x^2-...