1. Which of the following is a root of the polynomial shown below?
f(x)=x^2+2x^2-x-2
A. 3
B. 0
C. 1
D. 2
2. Which of the following expresses the possible number of positive real solutions for the polynomial equation shown below?
5x^3+x^2-7x+28=0
A. Three or one
B. Two or zero
C. One
D. Zero
3. A polynomial has one root that equals 5 - 7i. Name one other root of this polynomial.
4. The value 3 is an upper bound for the zeros of the function shown below.
f(x)=-3x^3+20x^2-36x+16
True or False?
5. The value -2 is a lower bound for the zeros of the function shown below.
f(x)=4x^3-12x^2-x+15
True or False?
6. Express the polynomial as a product of linear factors.
f(x)=x^3-5x^2-18x+72
A. (x - 2)(x + 6)(x - 6)
B. (x - 4)(x + 3)(x + 2)
C. (x - 3)(x + 3)(x - 8)
D. (x - 3)(x + 4)(x - 6)
7. What is the sum of the roots of the polynomial shown below?
f(x)=x^3-8x^2-23x+30
f(x)=x^2+2x^2-x-2
A. 3
B. 0
C. 1
D. 2
2. Which of the following expresses the possible number of positive real solutions for the polynomial equation shown below?
5x^3+x^2-7x+28=0
A. Three or one
B. Two or zero
C. One
D. Zero
3. A polynomial has one root that equals 5 - 7i. Name one other root of this polynomial.
4. The value 3 is an upper bound for the zeros of the function shown below.
f(x)=-3x^3+20x^2-36x+16
True or False?
5. The value -2 is a lower bound for the zeros of the function shown below.
f(x)=4x^3-12x^2-x+15
True or False?
6. Express the polynomial as a product of linear factors.
f(x)=x^3-5x^2-18x+72
A. (x - 2)(x + 6)(x - 6)
B. (x - 4)(x + 3)(x + 2)
C. (x - 3)(x + 3)(x - 8)
D. (x - 3)(x + 4)(x - 6)
7. What is the sum of the roots of the polynomial shown below?
f(x)=x^3-8x^2-23x+30