Use synthetic division to decide if k is a zero?

Question

Use synthetic division to decide whether the given number k is a zero of the given polynomial function.

-3; f(x)=-x^4+3x^2-x+1

please help me. thank you

Answer 1

By using synthetic division

First write down the coefficients in descending order of degrees of terms and put zero under and then add up.

Now multiply the carried number with and place under 0 and then add up to zero.

Now multiply the carried number with and place under 3 and then add up to 3.

Now multiply the carried number with and place under and then add up to .

Now multiply the carried number with and place under 1 and then add up to 1.

 

Since the remainder is not zero, is not a zero of the polynomial.