Answer to Question #135728 in Algebra for Everlyn

Question

y=5x^3+0x^2+x+7
Choose one integer from the following set: -5 ≤ x ≤ 5. State the integer you chose.
When using long division, what binomial would you divide by to determine if your chosen integer from part b is a zero for your polynomial?
Do the long division you just described in part c.
Write the answer to the long division problem in the form .
Is your integer from part b a zero of your polynomial? How you can tell from the long division work.

Answer 1

Choosing integer x=2

While using long division, the binomial would be x-2

Long division ;

Answer to the long division ;

quotient =5x^2+10x+21

Remainder =49

The integer x=2 is not a zero of the polynomial since the remainder from the long division is not zero