Divide y³ - 5y² + 2y +8 by y-2 and check your answer.
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Answer:
LOOK CAREFULLY
Step-by-step explanation:
USING REMAINDER THEOREM :
f(x)= y³ - 5y² - 2y +24
g(x) = (y- 4)
Hence,
y - 4 = 0
or, y = 4
Therefore substituting the value of y in f(x)
f(x) = y³ - 5y² - 2y +24
f(x) = (4)³ - 5(4)² -2(4) +24
f(x) = 64 - 5(16) - 8 + 24
f(x) = 64 - 80 - 8 +24
f(x) = 64 + 24 - (80 +8)
f(x) = 88 - 88
f(x) = 0
The answer is zero . Hence we conclude that g(x) is a factor of f(x)
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Step-by-step explanation:
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Answer:
so the quotient is y²-3y-4
