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Question

Common factor in quadratic polynomials x2+8x+15 and x2+3x10 is

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Solution

Given x2+8x+15

=x2+5x+3x+15

=x(x+5)+3(x+5)

=(x+5)(x+3)
Similar way, x2+3x10

=x2+(52)x10

=x2+5x2x10

=x(x+5)2(x+5)

=(x+5)(x2)

Hence, the common factor in quadratic polynomials x2+8x+15 and x2+3x10 is (x+5).


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