Mathematics
21.09.2021 20:57
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Select all of the following that are potential roots of p(x) = x4 − 9x2 − 4x + 12?

Select all of the following that are potential roots of p(x) = x4 − 9x2 − 4x + 12? evaluate the function for the given values to determine if the value is a root. p(−2) = p(2) = the value is a root of p(x).
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alyxkellar06
alyxkellar06
4,7(53 marks)

p(-2)= 0

p(2)= -16

the value is -2

Step-by-step explanation:

IntellTanito
IntellTanito
4,6(66 marks)

For any polynomial f(x),  k is a root of the polynomial only if f(k)=0 .

To determine which of the given values is a root of the polynomial ,

p(x)=x^4-9x^2-4x+12,

we just have to evaluate the f(x) for each of these values and see if the output is zero.

f(-2)=(-2)^4-9(-2)^2-4(-2)+12=16-36+8+12=0.\\f(2)=(2)^4-9(2)^2-4(2)+12=16-36-8+12=-16.

Since f(2)=-16 , we know that x=2  is  not a root of this polynomial.

Since f(-2)=0 , we know that x=-2  is a root of this polynomial.

tanionxavier
tanionxavier
4,6(5 marks)

im not sure what this means: mc011-7.jpg

step-by-step explanation:

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