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Long Division Method to Divide Two Polynomials

Use synthetic...

Question

Use synthetic division to find the quotient Q and Remainder R when dividing
$7 x^{5} - 2 x^{4} - 5 x^{3} + x^{2} - 3 x + 5$ by $x - 2$

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Solution

$\Rightarrow Q = 7 x^{4} + 12 x^{3} + 19 x^{2} + 39 x + 75$
$\Rightarrow R = 155.$
Hence, solved.

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