Question

One of the factors of the polynomial x3 + 5x2 + 6x is (x2 + 3x). What is the other factor? x − 2 x + 2 x + 1 x − 1

Answer 1

Answer with explanation:

The given Polynomial is :

            =  x³+5 x² +6 x

     =x×(x²+5 x +6)

Splitting the middle term

=x × (x²+3 x +2 x +6)

=x × [x×(x+3)+2×(x+3)]

=x ×[(x+2)(x+3)]

=x×(x+3)(x+2)

=(x²+3 x)(x+2)

⇒One factor of the Polynomial =(x²+3 x)

Other factor is = x+2

Option B:→ (x+2)

Answer 2

Hello there!

The factorization form for the polynomial is: x(x + 2)(x +3)

The other factor is x + 2


I hope this helps!