P(x) and R(x) are polynomials. P(x) is a trinomial. Give examples of P(x) and R(x) that meet the given conditions. P(x) - R(x) is a binomial.

Graph the function.

$$f ( x ) = x ^ { 3 } - x ^ { 2 } - 5 x + 6$$

Evaluate

$$P ( x ) = 4 x ^ { 9 } + 7 x ^ { 7 } - 6 x ^ { 6 } - 5 x ^ { 4 } - x ^ { 2 } + 3 x – 2$$

for the given value of x. x = 1

Multiply

$$( y - 3 ) \left( y ^ { 2 } - 6 y - 9 \right).$$

$$A. y ^ { 3 } + 18 y – 9$$

$$B. y ^ { 3 } - 3 y ^ { 2 } + 3 y + 27$$

$$C. y ^ { 3 } + 9 y ^ { 2 } + 27 y + 27$$

$$D. y ^ { 3 } - 9 y ^ { 2 } + 9 y + 27$$

Evaluate

$$P ( x ) = 4 x ^ { 9 } + 7 x ^ { 7 } - 6 x ^ { 6 } - 5 x ^ { 4 } - x ^ { 2 } + 3 x – 2$$

for the given value of x. x = -1