Quiz 4 - Synthetic Division / Zeros of a Polynomial / Factoring
Name___________________________________
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Use the remainder theorem and synthetic division to find f(k).
1) k = -3; f(x) = 2x3 - 5x2 - 4x + 17
1)
Use synthetic division to decide whether the given number k is a zero of the given polynomial function.
2) -1; f(x) = -2x3 + 6x2 + x - 7
2)
3) 2; f(x) = -9x3 + x2 + 4x - 3
3)
Use the factor theorem to decide whether or not the second polynomial is a factor of the first.
4) 5x4 + 14x3 - 3x2 + x + 4; x + 3
1
4)
Factor f(x) into linear factors given that k is a zero of f(x).
5) f(x) = x3 - 3x2 - 25x + 75 ; k = 5
5)
6) f(x) = 2x3 - 3x2 - 5x + 6; k = 1
6)
2
Answer Key
Testname: 3.3POLYNOMIALZERIOSQUIZ4
1)
2)
3)
4)
5)
6)
-70
Yes
No
No
(x - 5)(x - 3)(x + 5)
(x - 1)(x - 2)(2x + 3)
3