MATH SOLVE

4 months ago

Q:
# The diagram represents the polynomial 4x2 + 23x – 72.What is the factored form of 4x2 + 23x – 72?(4x + 8)(x – 9)(4x – 8)(x + 9)(4x + 9)(x – 8)(4x – 9)(x + 8)

Accepted Solution

A:

For this case we must factor the following expression:[tex]4x ^ 2 + 23x-72[/tex]We rewrite the middle term as a sum of two terms whose product is [tex]4 * (- 72) = - 288[/tex] and whose sum is 23. These numbers are -9 and +32. So:[tex]4x ^ 2 + (- 9 + 32) x-72\\4x ^ 2-9x + 32x-72[/tex]We factor the highest common denominator of each group.[tex]x (4x-9) +8 (4x-9)[/tex]We factor taking into account the common term [tex](4x-9):[/tex][tex](4x-9) (x + 8)[/tex]Finally, the factored expression is:[tex](4x-9) (x + 8)[/tex]Answer:Option D