Question

Select one of the factors of 3x2 10x 3

Answer 1

The polynomial is 3x^2 + 10x + 3 and the two factors are (3x+1) and (x+3), because

(3x+1)(x+3) = 3x^2 +9x + x +3 = 3x^2 + 10x +3

Answer 2

Factors of the polynomial are (3x + 1) and (x + 3).

Explanation:

The given polynomial is 3x² + 10x + 3 and we have to factorize the expression.

To solve this question we multiply the coefficient of highest degree term and the constant as 3×3 = 9 and now we will split it in a way that (9 + 1 = 10) which is the coefficient of second term of the polynomial.

3x² + 10x + 3 = 3x² + 9x + x + 3

=3x( x + 3) + 1( x + 3) = (3x + 1)(x + 3)

Therefore two factors of the polynomial are (3x + 1) and ( x + 3).