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.
You are watching: Select one of the factors of 3×2 + 10x + 3.
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).
balu736 <363>8 months ago
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
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