Algebra 1

Factor and explain each step

2x^2-13x-45

1. 👍 0
2. 👎 0
3. 👁 59
1. factors of 2 -->1, 2
factors of 45 -->1 ,9,5,3,3,15 (1,45)(9,5)..etc
well 2 *9 is 18 and 18-5 = 13 so try them
(2x + 5)(x-9)

1. 👍 0
2. 👎 0
posted by Damon
2. First you need to multiply the first and last digits in the equation (2 and 45). Now you find factors of 90 that will equal 13 when added. Both 18 and 5 go into 90 and when used appropriately, they add to -13. So to write it in its new form it would look like 2x^2-18x+5x-45. Now put parantheses around 2x^2-18x and another set around 5x-45. Notice that in the first set of parantheses that 2 and x are in both numbers. And in the second the number 5 is in both. So it will now look like 2x(x-9)+5(x-9). The function within the parantheses will be the same every time (after you factor the two set of numbers of course). Now you take what is in the parantheses and use that as part of the answer. You also use the part outside of the parantheses as well. So your answer should look like (2x+5)(x-9). The two parantheses can be switched.

1. 👍 0
2. 👎 0
posted by Katie

Similar Questions

1. Algebra

Can you pleas Solve the quadric equation step by step 4x square =13x+2 4x^2 = 13x + 2 subtract 13x and 2 from both sides 4x^2 - 13x - 2 = 0 Now use the quadratic formula, since it does not factor.

asked by Tony on April 11, 2007
2. algebra2

Solve each of the following quadratic equations. can some explain how to do these kinds of problems 4x^2=13x+12 i believe if i am understanding this i am supose to add to where i get =0 4x^2-13x+12=0 now what do i need to do I am

asked by Tina on May 9, 2007
3. math/algebra

subtract. express in simplest form 13x/30 - 4x/ 15 = factor the first denominator. Get a common denominator. Combine terms. I will be happy to critique your work. ok 13x/30 - 4x/ 15 = This is where I get lost, I know that I have

asked by Diana on July 15, 2007
4. Algebra

Factor: 2x^2 +13x-6 Please give step by step directions. I have tried doing it, but I can't get the right numbers. Thanks!

asked by Maria on March 13, 2017
5. Algebra 2

1.) The cost in C dollars of manufacturing x bicycles at Holliday's Production Plant is given by the function C(x) = 2x2 - 800x + 92,000. Find the minimum cost. 2.) The vertex of y = -3x2- 6x - 9 lies in which quadrant? 3.) Given

asked by Becka on February 27, 2014
6. algebra2

Can you explain how to factor the following trinomials forms: x2 + bx + c and ax2 + bx + c. Can there be more than one way to factor a problem like this? can you please show it in written word and step by step?

asked by kay on February 27, 2012
7. Algebra

Factor 5x^2-13x-6 I got (5x-3)(x-2) as the answer, but I know that is wrong. Can someone please explain this to me? Thank-you.

asked by Fanny on November 3, 2007
8. algebra

Megan factored the expression 12x^2+13x-14 as (3x+2)(4x-7). But when Jacob applied the foil principle and multiplied out(3x+2)(4x-7), he got 12x^2-13x-14; thus, Megan's solution does not appear to check. Why is that? Please help

asked by sheba on July 26, 2011
9. algebra

Find an equation for a line that has a slope of -13 and contains (-7, 2) Answer choices 1. y = -13x - 89 2. y = 13x + 93 3. y = -13x + 19 4. y = 13x - 33

asked by Joe on March 10, 2018
10. math

10a) Simplify the expression and explain each step. 12 + 3(2y – 3) Step 1: apply distributive property Step 2: combine like terms Step 3: simplify b) Factor the expression completely. 18b – 12 What is the GCF of 18 and 12? Use

asked by help on November 13, 2017

More Similar Questions