Find if the second polynomial is a factor the first polynomial:
15x^2 + x - 6, 3x + 2
Given: The two polynomials are
$15x^2 + x - 6, 3x + 2$
To do: That the second polynomial is factor of the first
Solution:
Let us factorize $15x^2 + x - 6$
= $15x^2 + 10x -9x - 6$
= $5x(3x+ 2) - 3(3x + 2)$
= $(3x + 2)(5x - 3)$
So $15x^2 + x = 6 = (3x + 2)(5x - 3)$
Clearly, the second polynomial $3x + 2$ is a factor of the first polynomial $15x^2 + x - 6$
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