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I have a bunch of these factoring problems to do, and some of them I can get myself (especially those with GCF or that are perfect squares or cubes). This one and one other I am having trouble with:

Factor completely:
7x^2 – 35x + 28


Can someone please tell me how to factor this. I am not just looking for homework answers, I want to be able to do the rest myself. I will choose a best answer, I always do. Please and thank you, very much.

2007-03-11 14:14:01 · 3 answers · asked by Brackish 1 in Science & Mathematics Mathematics

3 answers

7x^2 - 35x + 28

first step : factor out 7 making it equal to

7( x^2 - 5x + 4)

then break it up

7(x - 4)(x-1)

x = 4,1

2007-03-11 14:18:07 · answer #1 · answered by Anonymous · 1 0

This one does not seem so difficult:

7x² - 35x + 28 : first factor out the 7

= 7(x² - 5x + 4) : then factor the polynomial

= 7(x -4)(x-1)

2007-03-11 21:25:09 · answer #2 · answered by Eclectic_N 4 · 0 0

First, divide 7 out of the whole equation:

x^2 -5x + 4 = 0

Next, find two factors of 4 that will equal - 5. Remember, they will both be negative since 4 is positive and 5 is negative.

Therefore:

(x - 4)( x - 1) = 0

Set both to zero and solve.

2007-03-11 21:17:51 · answer #3 · answered by sillyboys_trucksare4girls 2 · 0 0

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