Do as directed:
1.) Check whether –2 and –4 are zeroes of the polynomial 2x + 9.
2.) Find a zero of the polynomial p(x) = 5x + 15.
3.) Find the value of k, if x – 1 is a factor of 7x3 + 11x 2 – 4x + k.
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Answer:
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Step-by-step explanation:
Let us substitute x=−2 in the given polynomial f(x)=x
4
−16 as shown below:
f(−2)=(−2)
4
−16=16−16=0
Since f(−2)=0, therefore, −2 is the zero of the polynomial f(x)=x
4
−16.
Now substitute x=2 as shown follows:
f(2)=(2)
4
−16=16−16=0
Since f(2)=0, therefore, 2 is the zero of the polynomial f(x)=x
4
−16.
Hence, −2 and 2 are the zeroes of the polynomial f(x)=x
4
−16.
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