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Question

36(x+4)(x2+7x+10)÷9(x+4)

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Solution

We need to divide the polynomial 36(x+4)(x2+7x+10) by the binomial 9(x+4).

Hence, 36(x+4)(x2+7x+10)9(x+4)

=9(x+4)9(x+4)×4(x2+7x+10)

=4(x2+7x+10)

=4(x2+5x+2x+10)

=4[x(x+5)+2(x+5)]

=4[(x+2)(x+5)]

=4(x+2)(x+5)

Hence, 36(x+4)(x2+7x+10)÷9(x+4)=4(x+2)(x+5).

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