Enclose - px-q- x2-2x-1 longdiv3x3-x2-2x-6- 3x3-6x2-3x2- -5x2-x-5- -5x2-10x-5- 9x-10 -

The correct option is B 3,5 enclose [ 3x 5; x^2+2x+1 longdiv3x^3+x^2+2x+6; 3x^3+6x^2+3x2; 5x^2 x+ ...

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Byju's Answer

Standard X

Mathematics

Remainder Theorem

enclose [ ...

Question

$\begin{matrix} p x - q x^{2} + 2 x + 1 3 x^{3} + x^{2} + 2 x + 6 3 x^{3} + 6 x^{2} + 3 x - -------------- - - 5 x^{2} - x + 5 - 5 x^{2} - 10 x - 5 - --------------- - 9 x + 10 \end{matrix}$

3,4

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3,5

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2,5

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2,2

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Solution

The correct option is B
3,5

$\begin{matrix} 3 x - 5 x^{2} + 2 x + 1 3 x^{3} + x^{2} + 2 x + 6 3 x^{3} + 6 x^{2} + 3 x - -------------- - - 5 x^{2} - x + 6 - 5 x^{2} - 10 x - 5 - --------------- - 9 x + 11 \end{matrix}$

From the given division algorithm we see that p = 3 and q = 5

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px−qx2+2x+13x3+x2+2x+63x3+6x2+3x––––––––––––––––2−5x2−x+5−5x2−10x−5–––––––––––––––––9x+10

The correct option is B 3,5 3x−5x2+2x+13x3+x2+2x+63x3+6x2+3x––––––––––––––––2−5x2−x+6−5x2−10x−5–––––––––––––––––9x+11 From the given division algorithm we see that p = 3 and q = 5

$\begin{matrix} p x - q x^{2} + 2 x + 1 3 x^{3} + x^{2} + 2 x + 6 3 x^{3} + 6 x^{2} + 3 x - -------------- - - 5 x^{2} - x + 5 - 5 x^{2} - 10 x - 5 - --------------- - 9 x + 10 \end{matrix}$

The correct option is B
3,5

$\begin{matrix} 3 x - 5 x^{2} + 2 x + 1 3 x^{3} + x^{2} + 2 x + 6 3 x^{3} + 6 x^{2} + 3 x - -------------- - - 5 x^{2} - x + 6 - 5 x^{2} - 10 x - 5 - --------------- - 9 x + 11 \end{matrix}$

From the given division algorithm we see that p = 3 and q = 5