Find the product:

Question:

Find the product:
(x2 − 5x + 8) × (x2 + 2x − 3)

Solution:

By horizontal method:

$\left(x^{2}-5 x+8\right) \times\left(x^{2}+2 x-3\right)$

$=x^{2}\left(x^{2}-5 x+8\right)+2 x\left(x^{2}-5 x+8\right)-3\left(x^{2}-5 x+8\right)$

$=x^{4}-5 x^{3}+8 x^{2}+2 x^{3}-10 x^{2}+16 x-3 x^{2}+15 x-24$

$=x^{4}-3 x^{3}-5 x^{2}+31 x-24$

 

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