Select one of the factors of 3x2 10x 3

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).

answer: 45

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