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3 years ago

Use remainder theorem to find the remainder when the function f(x) = x^3 + 5x^2 - 7x is divided by (x+4)

Mathematics

2 answers:

murzikaleks [220]3 years ago

6 0

Answer:

Remainder is 44.

Step-by-step explanation:

Remainder theorem says that if f(x) is divided by the linear polynomial (x-a) , then remainder is f(a)

In given question , f(x) = x³ + 5x² -7x

linear polynomial is (x+4) = (x - (-4) )

so from remainder theorem , remainder = f(-4) = (-4)³ + 5 ( -4)² - 7(-4)

= -64 + 80+28=44

Hence Remainder is 44.

Hatshy [7]3 years ago

5 0

Answer:

44 is the correct one

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a + a + b = 40 --(1)

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From (1):

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b = 40 - 2a --(4)

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