1. These are numbers which when multiplied form a product.
a. divisors
b. factors
c. quotients
d. roots
2. What are the factors of 6x²y?
a. 2.3.x.y
b. 1.6.x.y
c. 2.3.x.x.y
d. 1.6.x.y.y
3. It is helpful in finding the greatest common factor with 2 or momomials.
a. adding and subtracting polynomials
b. finding the roots of polynomials
c. multiplying and dividing polynomials
d. prime factorization
4. Which of the following is one of the factors of x²-6x+9?
a. X+3
b. X+3
c. X-6
d. X+9
5. Factor the polynomial 14x³-22x²-12x completely.
a. X(14x²-22x-12)
b. 2x(7x²-11x-6)
c. 14x(x-22x-12)
d. 2x(x-2)(7x+3)
6. Which expressionis a factor of 27x³+64?
a. 3x-8
b. 3x+4
c. 27x+8
d. 27x+64
7. The polynomial 6x³+kx³+x-6 has factors (2x-1) and (3x+2). find k.
a. 6
b. 17
c. 19
d. 21
8. A polynomial has a factor x-r if and only if it's remainder is zero. what theorem states this?
a. factor theorem
b. intermediate zero theorem
c. rational root theorem
d. remainder theorem
9. What is the quotient when x³-5x²-12 is divided by x-2?
a. x²+5x-3
b. x²-3x+5
c. x²-7x+25
d. x²+7x+5
10. What is the remainder when 2x⁴-5x²-12 is divided by X+1?
a. 0
b. -5
c. -10
d. -15
11. What are the factors of x³+5x²-4x-20?
a. (x²+4) (x+5)
b. (x²-5) (x+4)
c. (X+2) (X-2) (X+5)
d. (X+4) (X+5) (X+1)
12. Determine the other factor of x⁴+4x²+3 when x²+1 is one of its factors
a. (x²-1)
b. (x²-3)
c. (x²+1)
d. (x²+3)
13. Factor 2x⁵+7x²+3x completely.
a. X(x-1) (X+1) (X+3) (2x-1)
b. X(X+3) (2x+1) (x²+1)
c. (x-1) (x²+1) (X+3) (2x+1)
d. X(x²+1) (X+3) (2x-1)
14. A box has dimensions that linear factors of x³-9x²+26x-24. which of the following can be the measure of its length in terms of X?
a. x-1
b. X+2
c. X+3
d. x-4
15. The volume of a rectangular based prism is 30-4x²-11x+x³. express the height, width, and depth of the prism in terms of X.
a. (x-2) (X+3) (X+5)
b. (x-2) (X+3) (X-5)
c. (X+2) (X+3) (x-5)
d. (x-2) (x-3) (x-5)​