1. Verify that the given binomial is a factor of P(x), and write P(x) as the product of the binomial and its reduced polynomial Q(x). P(x) = x³ + 3x² + 2x 6, x 1

P(x) =

2.Verify that the given binomial is a factor of P(x), and write P(x) as the product of the binomial and its reduced polynomialQ(x).P(x) = x⁴ + 7x³ + 5x² 7x 6, x + 1

P(x) =

3. Determine the value of k so that the divisor is a factor of the dividend.

(4x³ + x² 22x + k) (x 5)

4. Use synthetic division and the Remainder Theorem to find P(c). P(x) = x⁴ + 1, c = 3

P(c) =