Get the solution to "Factor completely each polynomial, and indicate any that..."

Marenonigt

Answered question

2021-12-14

Factor completely each polynomial, and indicate any that are not factorable using integers.

4 x^{2} - 37 x + 40

intacte87

Beginner2021-12-15Added 42 answers

Given
Given a polynomial

4 x^{2} - 37 x + 40

Formula
Let

a x^{2} + b x + c = 0

be a quadratic expression

x = \frac{- b \pm \sqrt{b^{2} - 4 a c}}{2 a}

Let a and b be two roots of the quadratic expression , thge we write (x-a)(x-b)=0
Solution

4 x^{2} - 37 x + 40

x = \frac{37 \pm \sqrt{{(- 37)}^{2} - 4 (4) (40)}}{2 (4)}

= \frac{37 \pm \sqrt{1369 - 640}}{8}

= \frac{37 \pm \sqrt{729}}{8}

= \frac{37 \pm 27}{8}

x = \frac{37 + 27}{8}

and

x = \frac{37 - 27}{8}

x = \frac{64}{8}

and

x = \frac{10}{8}

x=8 and

\frac{5}{4}

Hence we factor the expression, as

4 x^{2} - 37 x + 40 = (x - 8) (x - \frac{5}{4})

Here x be any integer we can factor this way.

Do you have a similar question?

Recalculate according to your conditions!

Didn't find what you were looking for?