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Suppose we want to factor $2 x^{2}+7 x-72 .$ Explain why $(2 x-1)(x+72)$ is not a wise choice to try first.

$16 x-9 x=7 x$

Algebra

Chapter 6

Factoring and Quadratic Equations

Section 3

Factoring Trinomials of the Form $a x^{2}+b x+c 454$

Equations and Inequalities

Quadratic Functions

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University of Michigan - Ann Arbor

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okay. You were asked to explain why this mechanization is not a white wise choice. But it's polynomial will you see that are ending term of 72 and we have a 72 here. But on our middle term, here is much more so when we multiply 72 times this number are middle term will be 26 times every two, which is equal to 1 44 which is a lot larger than seven x. So what we want to do is split up or 72.

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