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klasskru [66]
3 years ago
8

Giving the right answer a branleist

Mathematics
1 answer:
balu736 [363]3 years ago
4 0

Answer:

GCF is 8

Step-by-step explanation:

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Is x - 8 a factor of the function f(x) = -2x3 + 17x2 - 64? Explain.
Oduvanchick [21]

we know that

If (x-8) is a factor of the function f(x)=-2x^{3}+17x^{2}-64

then

x=8 is a root of the function f(x)

therefore

For x=8 the value of the function must be zero

Verify

Substitute the value of x=8 in the function

f(8)=-2(8)^{3}+17(8)^{2}-64

f(8)=-2(512)+17(64)-64

f(8)=-1,024+1,088-64

f(8)=-1,088+1,088

f(8)=0

therefore

<u>the answer is</u>

Yes, (x-8) is a factor of the function f(x)

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