Question

Factor completely x3 + 8x2 – 3x – 24

O(x-8)(x2 - 3)
O (X + 8)(x2 + 3)
O (x-8)(x2 + 3)
O (X + 8)(x2 – 3)

Answer 1

Option d is the answer

(X + 8)(x2 – 3)

Explanation:

x3 + 8x2 – 3x – 24

= (X + 8)(x2 – 3)

Check all the options by expansion

(a)

(x-8)(x2 - 3)

=x3-3x-8x2+24

(b)

(X + 8)(x2 + 3)

=X3+3x+8x2-24

(c)

(x-8)(x2 + 3)

=X3+3x-8x2-24

(d)

(X + 8)(x2 – 3)

=X3-3x+8x2-24