Question

check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial x-2,x^4-x^3+3x-9
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Answer 1

FIRST WE HAVE TO DIVIDED X-2 TO x^4-x^3+3x-9

IF YOU DIDN'T  HOW TO DIVIDE THEN FOLLOW MY STEPS

FIRST STEP=X-2=0

X=2

THEN PUT X=2 IN EQUATION x^4-x^3+3x-9

AFTER PUTTING VALUE IF THE ANSWER COME ZERO

THEN IT IS FACTOR

OTHERWISE ANY NUMBER COME EXCEPT 0

THEN IT IS NOT FACTOR

Answer 2

Answer:

Given:

Polynomial x - 2 and x^4 - x^3+ 3x- 9

To Check:

We need to check whether the first polynomial is the factor of the second polynomial or not.

x^4 - x^3 + 3x - 9/ x - 2

Solution:

Division in attachment.

Inorder to check whether the first polynomial is the factor of the second polynomial or not we need to divide x^4 - x^3 + 3x - 9 by x - 2.

Now, on dividing x^4 - x^3 + 3x - 9 by x - 2 we get -x + 9 as the remainder, which means that x - 2 is not the factor of x^4 - x^3 + 3x - 9.

Hence, x - 2 is not the factor of x^4 - x^3 + 3x - 9.