Question

Simplify (x − 1)(x2 + 5x + 2).

x3 + 6x2 + 7x − 2
x3 + 4x2 − 3x − 2
x3 − x2 + 2x − 2
x3 + 5x2 − 6x − 2

Answer 1

x3 + 4x2 − 3x − 2

Answer 2

distribute
pretend the x²+5x+2 part is the a in
a(b+c)=ab+ac

so
(x-1)(x²+5x+2)=
(x²+5x+2)(x-1)=
(x²+5x+2)(x)+(x²+5x+2)(-1)=
x³+5x²+2x-x²-5x-2=
x³+4x²-3x-2

2nd option