If p(x)=3xsquare+xsquare+2x+5 and q(x)=(3x-5) and r(x) = (9x+10). Then – InterviewSolution

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If p(x)=3xsquare+xsquare+2x+5 and q(x)=(3x-5) and r(x) = (9x+10). Then find out g(x).

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Answer:

p(X)=g(x)*Q(x)+R(x)

$3 {x }^{2} + {x}^{2} + 2x + 5 = g(x)(3x - 5) + 9x + 10$

$3 {x}^{2} + {x}^{2} + 2x + 5 - 9x - 10 = g(x)(3x - 5) =$

$4 {x}^{2} - 7x - 5 = g(x)(3x - 5)$

$(4 {x}^{2} - 7x - 5) \div 3x - 5 = g(x)$

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