Answer: The required expression in factored form is [tex](x+4)(-7x+60).[/tex]
Step-by-step explanation: We are given to find the factored form of the following expression :
[tex]E=-7x^2+32x+240~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
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 :
[tex]E\\\\=-7x^2+32x+240\\\\=-7x^2+60x-28x+240\\\\=x(-7x+60)+4(-7x+60)\\\\=(x+4)(-7x+60).[/tex]
Thus, the required expression in factored form is [tex](x+4)(-7x+60).[/tex]
