Answer:
Factors of the polynomial are (3x + 1) and (x + 3).
Step-by-step 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).
