For the below given division of polynomial- Find the value of a- enclose array c x-1 X-3 p t-x-2-5 x-a encloselongdiv x- 3-6 x- 2-11 x-6-3 p t-spacelspacelspacelspacelspacelspacelspacelspacelspacelspacelspacelspacelspacelspacelspacelspacelspacelunderline x - 3-5 x - 2-a x phantom 2 -3 p t-spacelspacelspacelspacelspacelspacelspacelspacelspacelspacelspacelspacelspacelspacelspacelspacelspacelspacelspacelspacelspacelspacelspacelspacex - 2-5 x -6 W -3 pt -spacelspacelspacelspacelspacelspacelspacelspacelspacelspacelspacelspacelspacelspacelspacelspacelspacelspacelspacelspacelspacelspacelspacelspacelspac elspacelunderline - x - 2-5 x - a spacelspacelspacelspacelspacelspacelspacelspacelspacelspacelspacelspacelspacelspacelspacelspacelspacelspacelspacelspacelspacelspace0 -endarray

Enclose [ x 1; x^2 5x+6 longdivx^3 6x^2+11x 6; x^3 5x^2+6x2; x^2+5x 6; ...

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Byju's Answer

Standard X

Mathematics

Degree of a Polynomial

For the below...

Question

For the below given division of polynomial, Find the value of a.

$\begin{matrix} x - 1 x^{2} - 5 x + a x^{3} - 6 x^{2} + 11 x - 6 x^{3} - 5 x^{2} + a x - ------------- - - x^{2} + 5 x - 6 - x^{2} + 5 x - a - ------------- - 0 \end{matrix}$

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Solution

$\begin{matrix} x - 1 x^{2} - 5 x + 6 x^{3} - 6 x^{2} + 11 x - 6 x^{3} - 5 x^{2} + 6 x - ------------- - - x^{2} + 5 x - 6 - x^{2} + 5 x - 6 - ------------- - 0 \end{matrix}$

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Similar questions

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

Q. Find dividend and quotient for the given long division:

\begin{matrix} 18475 - 4 - 35 - 32 - - - 3 \end{matrix}

Q. Perform the long division and find the quotient, if the dividend is 1331.

\begin{matrix} 11 ? ? \end{matrix}

Q. If a polynomial

x^{4} - 5 x^{3} + x^{2} + k x - 12

is exactly divisible by

x^{2} - 5 x + 4

, then find the value of k.

Q. If

(x + 3)

and

(x^{2} + 5 x + 7)

are factors of the polynomial

P (x) = a x^{3} + b x^{2} + c x + d

, then find

a

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For the below given division of polynomial, Find the value of a. x−1x2−5x+ax3−6x2+11x−6 x3−5x2+ax–––––––––––––––2 −x2+5x−6 −x2+5x−a––––––––––––––– 0

x−1x2−5x+6x3−6x2+11x−6 x3−5x2+6x–––––––––––––––2 −x2+5x−6 −x2+5x−6––––––––––––––– 0

For the below given division of polynomial, Find the value of a.

$\begin{matrix} x - 1 x^{2} - 5 x + a x^{3} - 6 x^{2} + 11 x - 6 x^{3} - 5 x^{2} + a x - ------------- - - x^{2} + 5 x - 6 - x^{2} + 5 x - a - ------------- - 0 \end{matrix}$

$\begin{matrix} x - 1 x^{2} - 5 x + 6 x^{3} - 6 x^{2} + 11 x - 6 x^{3} - 5 x^{2} + 6 x - ------------- - - x^{2} + 5 x - 6 - x^{2} + 5 x - 6 - ------------- - 0 \end{matrix}$