The remainder when p\left(x\right)=x^3-2x^2+8x+kp ( x ) = x 3 − 2 x 2 + 8 x + k by (x-2) is 19. What is the remainder when p(x) is divided by (x+2)?
2 answers:
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✩ Given Polynomial : x³ - 2x² + 8x + k
when p(x) is divided by (x - 2) it gives 19 as remainder. HENCE WE CAN SAY.
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Answer:
Remainder when p(x) is divided by (x+2) is -29
Step-by-step explanation:
p(x) =
When p(x) is divided by (x-2), remainder is 19.
p(x - 2 = 0) gives the remainder when p(x) is divided by (x-2)
x - 2 = 0
x = 2
p(x-2=0) = p(2) = = 19
8 - 8 + 16 + k = 19
k = 3
p(x) =
p(x + 2 = 0) gives the remainder when p(x) is divided by (x+2)
x + 2 = 0
x = -2
p(x+2=0) = p(-2) =
p(-2) = - 8 - 8 - 16 + 3 = -29
Remainder when p(x) is divided by (x+2) is -29
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