Question

Please help me with algebra part B and C. attachment below. Will mark as brainslist. 25 points.

Answer 1

C.
`(-7x+60)(x+4)`

Explanation:

Consider the expression
`-7x^2+32x+240.`

First, note that

`a=-7\\ \\b=32\\ \\c=240`

Find the discriminant

`D=b^2-4ac=32^2-4\cdot (-7)\cdot 240=1,024+6,720=7,744\\ \\√(D)=√(7,744)=88`

Now,

`x_1=(-b+√(D))/(2a)=(-32+88)/(2\cdot (-7))=-4\\ \\x_2=(-b-√(D))/(2a)=(-32-88)/(2\cdot (-7))=(60)/(7)`

Write the factored form:

`-7x^2+32x+240=-7(x-(-4))\left(x-(60)/(7)\right)=(x+4)(-7x+60)`