I have no clue how to do this problem:
1 answer:
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Answer:
Step-by-step explanation:
We have
Substitute:
Answer:
The polynomial (x -5) is not a factor of second polynomial
Step-by-step explanation:
Factor theorem states that if you divide a polynomial p(x) by a factor x -a of that polynomial, then you will get a zero remainder.
i.,e which means that if x - a is a factor of p(x), then the remainder, when we do synthetic division by x= a, will be zero.
Determine whether the first polynomial is a factor of the second polynomial.
Given the polynomial:
For to be a factor of
, the factor theorems implies that x = 5 must be a zero of f(x).
Now, to test whether is a factor;
Set x -5 = 0
⇒x = 5
Then,
we will use synthetic division method to divide f(x) by x =5
you can see the figure as shown below in the attachment.
Since, the remainder is 150 which is not equal to zero, then Factor theorem says that (x-5) is not a factor of
