When the x³+3x²-kx+4 is divided by x+3, the remainder is k. find the value of k.
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Answers
Answered by
1
Answer:
--2
Step-by-step explanation:
quotient (x^2--k) and remainder 4+3k . here 4+3k=k from it k= --2
Answered by
2
Answer:
Your answer is here:-
Step-by-step explanation:
x + 3
so, x = -3
p(x) = x³ + 3x² - kx + 4
p(-3) = (-3)³ + 3(-3)² - k(-3) + 4
(-3)³ + 3(-3)² - k(-3) + 4 = k
- 27 + 3(9) + 3k +4 = k
- 27 + 27 +3k + 4 = k
3k + 4 = k
3k - k = -4
2k = - 4
k = -4/2
k = -2
Hope it helps you.
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