Multiply the polynomial $(3 m + 4)$ by the polynomial $(5 m^{4} + 7 m^{2} + 5 m)$

15 m^{5} + 20 m^{4} + 21 m^{3} + 43 m^{2} + 20 m

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5 m^{5} + 20 m^{4} + 21 m^{3} + 43 m^{2} + 20 m

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15 m^{5} + 20 m^{4} + 21 m^{3} - 43 m^{2} + 20 m

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15 m^{5} + 20 m^{4} + 21 m^{3} + 43 m^{2} - 20 m

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Solution

The correct option is A $15 m^{5} + 20 m^{4} + 21 m^{3} + 43 m^{2} + 20 m$
$(3 m + 4) (5 m^{4} + 7 m^{2} + 5 m)$
Multiply the coefficients and add the exponents of the variable.
$=$ $3 m .5 m^{4} + 3 m .7 m^{2} + 3 m .5 m + 4.5 m^{4} + 4.7 m^{2} + 4.5 m$
$=$ $15 m^{5} + 21 m^{3} + 15 m^{2} + 20 m^{4} + 28 m^{2} + 20 m$
$=$ $15 m^{5} + 20 m^{4} + 21 m^{3} + 43 m^{2} + 20 m$

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