Question 169657
Find p(x) + 4q(x)
p(x) = 4x^4 + 55x^3 - 23x^2 + 13
q(x) = 43x^4 + 14x^2 -12
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p(x) + 4q(x) 
= (4x^4 + 55x^3 - 23x^2 + 13) + 4(43x^4 + 14x^2 -12)

= (4x^4 + 55x^3 - 23x^2 + 13) + (172x^4 + 56x^2 - 48)

= 176x^4 + 55x^3 + 33x^2 - 35

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Cheers,
Stan H.