Subtract-8-6x-x-2-7x-3-x-5- from- x-4-6x-3-x-2-3x-1-x-5-x-4-x-3-3x-x-5-x-4-x-3-7-x-5-x-4-x-3-3x-7-x-5-x-4-4x-3-3x-7-

The correct option is C x^5+x^4+x^3+3x 7 [ ; x^4 amp; 6x^3 amp; +x^2 amp; 3x amp; +1; x^5 amp; 7x^3 amp; +x^2 amp; 6x amp; +8; ...

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Byju's Answer

Standard VI

Mathematics

Subtraction of Polynomials

Subtract( 8-6...

Question

Subtract $(8 - 6 x + x^{2} - 7 x^{3} + x^{5})$ from $(x^{4} - 6 x^{3} + x^{2} - 3 x + 1)$ .

$- x^{5} + x^{4} + x^{3} + 3 x$

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$- x^{5} + x^{4} + x^{3} - 7$

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$- x^{5} + x^{4} + x^{3} + 3 x - 7$

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$- x^{5} + x^{4} + 4 x^{3} + 3 x - 7$

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Solution

The correct option is C
$- x^{5} + x^{4} + x^{3} + 3 x - 7$

$\begin{matrix} x^{4} & - 6 x^{3} & + x^{2} & - 3 x & + 1 x^{5} & - 7 x^{3} & + x^{2} & - 6 x & + 8 (-) & (+) & (-) & (+) & (-) - x^{5} + x^{4} & + x^{3} & + 3 x & - 7 \end{matrix}$

$= (- x^{5} + x^{4} + x^{3} + 3 x - 7)$

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Similar questions

Q. If the median of the observations x₁, x₂, x₃, x₄, x₅, x₆, x₇, x₈ is m, then the median of the observations x₃, x₄, x₅, x₆ (where x₁ < x₂ < x₃< x₄ < x₅< x₆< x₇< x₈) is _________.

$x^{5} + x^{4} + x^{3} + x^{2} + x + 1$ by $x^{3} + 1$

$I f M i s t h e m e a n o f x_{1}, x_{2}, x_{3}, x_{4}, x_{5} a n d x_{6}, p r o v e t h a t (x_{1} - M) + (x_{2} - M) + (x_{3} - M) + (x_{4} - M) + (x_{5} - M) + (x_{6} - M) = 0$

The degree of the polynomial obtained when $8 - 6 x + x^{2} - 7 x^{3} + x^{5}$ is subtracted from $x^{4} - 6 x^{3} + x^{2} - 3 x + 1$ is:

Subtract $(8 - 6 x + x^{2} - 7 x^{3} + x^{5})$ from $(x^{4} - 6 x^{3} + x^{2} - 3 x + 1)$ .

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Subtract( 8−6x+x2−7x3+x5) from( x4−6x3+x2−3x+1).

The correct option is C −x5+x4+x3+3x−7 x4−6x3+x2−3x+1 x5−7x3+x2−6x+8(−)(+)(−)(+)(−)−x5+x4+x3+3x−7 =(−x5+x4+x3+3x−7)

Subtract $(8 - 6 x + x^{2} - 7 x^{3} + x^{5})$ from $(x^{4} - 6 x^{3} + x^{2} - 3 x + 1)$ .

The correct option is C
$- x^{5} + x^{4} + x^{3} + 3 x - 7$

$\begin{matrix} x^{4} & - 6 x^{3} & + x^{2} & - 3 x & + 1 x^{5} & - 7 x^{3} & + x^{2} & - 6 x & + 8 (-) & (+) & (-) & (+) & (-) - x^{5} + x^{4} & + x^{3} & + 3 x & - 7 \end{matrix}$

$= (- x^{5} + x^{4} + x^{3} + 3 x - 7)$