Subtract ( 8 − 6 x + x 2 − 7 x 3 + x 5 ) from ( x 4 − 6 x 3 + x 2 − 3 x + 1 ) . Options: A . &nbsp−x5+x4+x3+3x B . &nbsp−x5+x4+x3−7 C . &nbsp−x5+x4+x3+3x−7 D . &nbsp−x5+x4+4x3+3x−7

Answer: Option C : C 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 = ( − x 5 + x 4 + x 3 + 3 x − 7 )

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

Question

Subtract

(8 - 6 x + x^{2} - 7 x^{3} + x^{5})

from

(x^{4} - 6 x^{3} + x^{2} - 3 x + 1)

Options:

A . −x5+x4+x3+3x

B . −x5+x4+x3−7

C . −x5+x4+x3+3x−7

D . −x5+x4+4x3+3x−7

Answer: Option C
:
C

\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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