Foundations of Math 3 Unit 9 Worksheet 1

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Determine if the given binomial is a factor of the polynomial. Show all work. A. ( p4  5 p3  11 p2  25 p  29)  ( p  6) B. ( y 4  8 y 3  10 y 2  2 y  4)  ( y  2) C. (8v 5  32v 4  5v  20)  (v  4)

3 2 D. (3 x  4 x  17 x  6)  (3 x  1) E. (4v 3  6v 2  8v  12)  (2v  3) F. (6z 3  5z 2  3z  2)  (2 x  1)

Use the given factor to find the remaining factors of the polynomial. Write as a product of factors. 3 2 3 2 A. x  9 x  23 x  15; x  5 D. 25 x  150 x  131 x  30; 5 x  3 3 2 B. x  x  14 x  25; x  3 C. 2𝑥 3 − 3𝑥 2 − 11𝑥 + 6; 𝑥 + 2 Divide. A. B.

3 2 E. 6 x  7 x  1; 2 x  1 F. 𝑥 3 − 4𝑥 2 − 9𝑥 + 36; 𝑥 − 4

Use the remainder theorem to find the indicated function value. ; 𝑓(−1)

A. 2

B. 𝑓(𝑥) = −𝑥 + 4𝑥 − 1; 𝑓(3) C. 𝑓(𝑥) = 𝑥 3 − 7𝑥 2 + 5𝑥 − 6 ; 𝑓(2) D. 𝑓(𝑥) = 4𝑥 3 + 5𝑥 2 − 6𝑥 − 4 ; 𝑓(−2) 1

E. 𝑓(𝑥) = 2𝑥 4 − 5𝑥 3 − 𝑥 2 + 3𝑥 + 2 ; 𝑓 (− 2) 2

F. 𝑓(𝑥) = 6𝑥 4 + 10𝑥 3 + 5𝑥 2 + 𝑥 + 1 ; 𝑓 (− ) 3