Use synthetic division to determine if the given value for k is a zero of this polynomial. If not, determine p(k). p(x)=3x^4−5x^3−4x^2+13x−7;k=1

Answer 1

1 | 3 -5 -4 13 -7

3 -2 -6 7

3 -2 -6 7 0

List coefficients and enter 0 for missing powers (all present here

Bring down 3, multiply by 1 and add to next coefficient

(Multiply sum by 1 and add to next coefficient) Repeat until last coefficient and sum)

Final sum = 0 - you have a zero of the polynomial

Any other value is the value of the polynomial for that k value (P(x=k))

An easier way to evaluate k = 1 is to just add up the coefficients.