2 Answers

Smakus · Answer 1 · 2019-01-19T03:31:29+0000

Answer: The required expression in factored form is
(x+4)(-7x+60).

Step-by-step explanation: We are given to find the factored form of the following expression :

E=-7x^2+32x+240~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

To find the factored form of the given expression, we need to find two integers whose sum is 32 and product is -1680.

The factorization of expression (i) is as follows :

$E\\\\=-7x^2+32x+240\\\\=-7x^2+60x-28x+240\\\\=x(-7x+60)+4(-7x+60)\\\\=(x+4)(-7x+60).$

Thus, the required expression in factored form is
(x+4)(-7x+60).

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