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borishaifa [10]
3 years ago
5

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

Mathematics
2 answers:
Oduvanchick [21]3 years ago
7 0

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)

Usimov [2.4K]3 years ago
3 0
X-8=0
x=8
f(8)=-2(8)^3 +17(8)^2 - 64
=-2(512) + 17(64) - 64
 = -1024+1088-64
= -1024 -64+1088
= -1088+1088
=0

so, x-8 is a factor of the function f(x) = -2x3 +17x2 - 64

hope this helps!!!!!! ^_^_^


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  • The range of this relationship can be defined as,

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Definition of Domain and Range

The set of  all the possible input values for which the provided function is defined is termed as the domain of that function.

The set of all the possible values that a given function can generate as an output is termed as the range of that function.

Forming the Relation

It is given that,

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Thus, the relation formed is given by,

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Domain and Range of the Given Relation

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⇒ 0\leq y\leq 40

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brainly.com/question/1632425

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