Question

Find product (4p2 +5p +7)x3p
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Answer 1

Finding the products of polynomials

Answer: product of quadratic trinomial  $4p^{2} +5p+7$ and linear momomial $3p$ is cubic trinomial $12p^{3}$ + $15p^{2}$ + $21p$.

Explanation:

Need to calculate product of  a quadratic trinomial and linear momomial .

Given  quadratic trinomial  is as follows

$4p^{2} +5p+7$

And given linear momomial  is as follows

$3p$

Expression which needs to be simplified is as follows

$(4p^{2} +5p+7)$ ×$3p$

=> $(4p^{2}$ × $3p)$ + $(5p$ × $3p)$  + $(7$ × $3p )$

=> $12p^{3}$ + $15p^{2}$ + $21p$

Hence product of quadratic trinomial  $4p^{2} +5p+7$ and linear momomial $3p$ is cubic trinomial $12p^{3}$ + $15p^{2}$ + $21p$.

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