Mathematics: suppose p(x) = x^3-2x^2 + 13x + k. the remainder of the division of p(x) by (x + 1) is-8. what isthe remainder of the division of p(x) by (x - 1)? a.-8b. 8c. 16d. 20

suppose p(x) = x^3-2x^2 + 13x + k. the remainder

Ответ:

eamber646

04.01.2022

Mathematics

D. 20

Step-by-step explanation:

Use long division to find k:

$\phantom{x+1)x^{3}-2}x^{2}-\ 3x+16\\x+1)\overline{x^{3}-2x^{2}+13x+k}\\\phantom{x+1)}x^{3}+\ x^{2}\\\phantom{x+1)}\overline{\phantom{x^{3}}-3x^{2}}+13x\\\phantom{x+1)x^{3}}-3x^{2}-\ 3x\\\phantom{x+1)x^{3}}\overline{\phantom{-4x^{2}-\ \ }16x}+k\\\phantom{x+1)x^{3}-2x^{2}+\ }16x+16\\\phantom{x+1)x^{3}-2x^{2}-\ }\overline{\phantom{17x+\ }k-16}$

The remainder is -8, so:

k − 16 = -8

k = 8

Use long division to find the new remainder:

$\phantom{x+1)x^{3}-2}x^{2}-\ \ \ x+12\\x-1)\overline{x^{3}-2x^{2}+13x+8}\\\phantom{x+1)}x^{3}-\ x^{2}\\\phantom{x+1)}\overline{\phantom{x^{3}}\ -x^{2}}+13x\\\phantom{x+1)x^{3}\ }-x^{2}+\ \ \ x\\\phantom{x+1)x^{3}}\overline{\phantom{-4x^{2}-\ \ }12x}+8\\\phantom{x+1)x^{3}-2x^{2}+\ }12x-12\\\phantom{x+1)x^{3}-2x^{2}-\ }\overline{\phantom{12x+\ }20}$

The remainder is 20.

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Ответ:

christib

07.04.2020

Mathematics

6.5 km

Step-by-step explanation:

1:50,000

13 cm on a map, multiply both sides by 13 which leaves us with:

13:650,000

However, we need to calculate the distance in kilometers, not centimeters. To do that, we have to divide 650,000 by 100,000 which leaves us with 6.5 km

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suppose p(x) = x^3-2x^2 + 13x + k. the remainder of the division of p(x) by (x + 1) is-8. what is
the remainder of the division of p(x) by (x - 1)?
a.-8
b. 8
c. 16
d. 20

Ответ:

Ответ:

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