Question

The polynomial equation P(x)= $3x^2+10x+7$ can be represented as

• A. (3x + 2) (x + 1)
• B. (3x – 2) (x + 1)
• C. (3x + 2) (x – 1)
• D. (3x - 2) (x – 1)

Answer 1

The correct option is A

(3x + 2) (x + 1)

P(x) can be factorized as $3x^2+3x+7x+7=(3x+7)(x+1)$.
Any polynomial equation of any degree can be represented as a product of all its factors.
So, P(x) = $3x^2+10x+7$ can be represented as a product of its two factors i.e. $(3x+7)(x+1)$.