Question

divide the polynomial 3x4-5x3+4x2+10x-2 by the polynomial x3-2x and verify the division

Answer 1

here in the above photograph there is division and verification...
Hope it helped...
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Answer 2

$\huge \mathfrak \color{red} {heya \: mate}$

$\huge \mathbb \color{blue} {HERE'S \: YOUR \: ANSWER}$


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$<b>Follow the attachment above </b>$

$q(x) = 3x - 5 \\ \\ r(x) = 10 {x}^{2} - 2$

$\huge \underline \bold \color{yellow} {verification}$

$p(x) = g(x) \times q(x) + r(x) \\ \\ = > {3x}^{4} - {5x}^{3} + {4x}^{2} + 10x - 2 = {x}^{3} - 2x \times 3x - 5 + ({10x}^{2} - 2) \\ \\ = > {3x}^{4} - {5x}^{3} + {4x}^{2} + 10x - 2 = {x}^{3} (3x - 5) - 2x(3x - 5) + {10x}^{2} - 2 \\ \\ = > {3x}^{4} - {5x}^{3} + {4x}^{2} + 10x - 2 = {3x}^{4} - 5 {x}^{3} - 6 {x}^{2} + 10x + {10x}^{2} - 2 \\ \\ = > {3x}^{4} - {5x}^{3} + {4x}^{2} + 10x - 2 = {3x}^{4} - 5 {x}^{3} + 4 {x}^{2} + 10x - 2$

$\huge\bold{verified}$

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