Answer to Question #135730 in Algebra for Everlyn

Question

y=5x^4+0x^2+1
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

y = 5x^4+0x^2+1

I choose the integer x=4

, then the binomial to divide y would be x-4.

The long Division;

The remainder is 1281

No, the integer is not a zero of the binomial since the remainder is not equal to zero.