Find the product:

Question:

Find the product:
(x3 − 2x2 + 5) × (4x − 1)

Solution:

By horizontal method:

$\left(x^{3}-2 x^{2}+5\right) \times(4 x-1)$

$=4 x\left(x^{3}-2 x^{2}+5\right)-1\left(x^{3}-2 x^{2}+5\right)$

$=4 x^{4}-8 x^{3}+20 x-x^{3}+2 x^{2}-5$

$=4 x^{4}-9 x^{3}+2 x^{2}+20 x-5$

 

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