Free Printable Factoring Polynomials and Rational Algebraic Expression

1.

1. _______________ is an algebraic expression that divides another number or expression evenly.

a)

a. Prime Factorization

b)

b. Factoring

c)

c. Rational Expression

2.

2. __________is a way of expressing a number as a product of its prime factor.

a)

a. Prime Factorization

b)

b. Factoring

c)

c. Rational Expression

3.

3. ________________ is an algebraic expression that can be written as a quotient of polynomials such as quotient of polynomials.

a)

a. Prime Factorization

b)

b. Rational Algebraic Expression

c)

c. Rational Expression

4.

4. ___________________ is a symbol or number with fixed value.

a)

a. Variable

b)

b. Constant

c)

c. Polynomial

5.

5. ______________ is a symbol which represents an unknown value.

a)

a. Variable

b)

b. Constant

c)

c. Polynomial

6.

6. ______________ is an algebraic expression that shows a sum and difference of two or more terms containing whole number exponents on the variable.

a)

a. Variable

b)

b. Constant

c)

c. Polynomial

7.

7. _________ is where the numerator equals to zero.

a)

a. Domain of a function

b)

b. Zero’s of the function

c)

c. Quotient of Algebraic Expression

8.

7. _________ is where the numerator equals to zero.

a)

a. Domain of a function

b)

b. Zero’s of the function

c)

c. Quotient of Algebraic Expression

9.

8. _____________ of the function is all reals.

a)

a. Domain

b)

b. Zero’s

c)

c. Quotient

10.

9. _______________ is often called the reverse process of multiplying polynomials.

a)

a. Prime Factorization

b)

b. Factoring

c)

c. Rational Expression

11.

10. In finding the Greatest Common Factor of two or more numbers , we can use ______________.

a)

a. Prime Factorization

b)

b. Rationalizing

c)

c. Strategies

12.

11. What is the factor of $3x+3y?$

a)

$a.3(1+x+y)$

b)

$b.3(x+y)$

c)

$c.(1+x)(3+y)$

13.

$12.What\ is\ the\ factor\ of\ x^5+x^7?$

a)

$a.x^5(x+1)$

b)

$b.x^5(1+x^2)$

c)

$c.〖(x〗^2+1)(x^3+1)$

14.

$13.What\ is\ the\ common\ factor\ of\ 2,4,6?$

a)

a. 2

b)

b. 3

c)

c. 4

15.

$14.What\ is\ the\ common\ in\ x,2x,3x,4x?$

a)

a. 2

b)

b. x

c)

c. 2x

16.

15. Eight less than twice a number means?

a)

$a.2n-8$

b)

$b.2(n-8)$

c)

$c.2n+8$

17.

$16.Simplify\ (x^2-25)/(x^2-5x).$

a)

$a.(x+1)/x$

b)

$b.(x+5)/x$

c)

$c.(x^4+1)/x$

18.

$17.Simplify\ (〖4x〗^2-1)/(2x+1)$

a)

$a.(x+1)/x$

b)

$b.3x-1$

c)

$c.2x-1$

19.

$18.Simplify\ 〖(x〗^2+5x-14)(x^2-4x-77)^(-1)$

a)

$a.(x^2+1)/(x+1)$

b)

$b.(x^2+1)/x$

c)

$c.(x-2)/(x-11)$

20.

$19.Simplify\ (x^4-y^4)/(x^3+x^2y-〖xy〗^2-y^3)$

a)

$a.(x^2-2)/(x-11)$

b)

$b.(x^2+y^2)/(x+y)$

c)

$c.(x^3+y^2)/(x+y)$

21.

$20.Simplify(x^4+x^2+x)/(x^3+1)$

a)

$a.(x^2+x+1)/x$

b)

$b.(x^2+x+1)/(x+1)$

c)

$c.(x^2+x+1)/x^2$

22.

$21.Find\ the\ GCF\ of\ n^2,\ n^3\ and\ n^6$

a)

$n$

b)

$b.n^3$

c)

$c.n^2$

23.

$22.Find\ the\ GCF\ of\ 4\ and\ 8$

a)

a. 2

b)

b. 4

c)

c. 8

24.

$23.Find\ the\ GCF\ of\ 〖4x〗^3\ and\ 8x^2$

a)

$a.〖2x〗^2$

b)

$b.〖4x〗^2$

c)

$c.〖3x〗^2$

25.

$24.\ Find\ the\ GCF\ of\ 〖15y〗^6\ and\ 9z.$

a)

$a.\ 4$

b)

$b.\ 3$

c)

$c.\ 2$

26.

$25.Find\ the\ GCF\ of\ 〖4y〗^2,\ 2y\ and\ 6y^3.$

a)

$a.\ 3y$

b)

$b.\ 2y$

c)

$c.\ 4y$

Factoring Polynomials and Rational Algebraic Expression

Total questions: 26

Worksheet time: 11mins

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