Free Printable #411 Polynomials and Factoring Review

1.

Given the polynomial, which shows the terms in standard form. $5m^2n+9n^3-mn^2+2m^3$

a)

$2m³+9n³+5m²n-mn^2$

b)

$9n³+5m²n+2m³-mn^2$

c)

$2m³+5m²n-mn^2+9n³$

d)

$9n³-mn^2+5m²n+2m³$

2.

Classify the following expression below. $3x$

a)

Constant Monomial

b)

Linear Monomial

c)

Cubic MOnomial

d)

Quartic Monomial

3.

Classify the expression below. $2x^4-x+5$

a)

Linear Trinomial

b)

Cubic Trinomial

c)

Quadratic Trinomial

d)

Quartic Trinomial

4.

Simplify the expression. $\left(2x²-5x+6\right)+\left(5x²-3x+4\right)$

a)

$7x^2-8x+10$

b)

$7x^2-2x+10$

c)

$7x^2-8x+2$

d)

$7x^2-2x+2$

5.

Simplify the expression. $\left(7y^2-3y\right)-\left(4y^2+2y-2\right)$

a)

$3y²-5y-2$

b)

$3y²-5y+2$

c)

$3y²-y-2$

d)

$3y²-y+2$

6.

Simplify the expression. $3xy\left(5x^2+2xy+3y^2\right)$

a)

$15x^3y+6x^2y^2+9xy^3$

b)

$15x^3y+2xy+3y^2$

c)

$15x^2y+6x^2y^2+9xy^2$

d)

$15x^2+5xy+3y^2$

7.

Choose two polynomials that will result in the given product. $24x^3y^2+16xy^3+12y^3$

a)

$4xy$

b)

$4x^2y$

c)

$4y^2$

d)

$6x^3+4xy+3y$

e)

$6x^2y+4x+3y^2$

8.

Simplify the expression. $5w\left(4w^2-2w\right)+3w\left(-2w^2+4w\right)$

a)

$10w^3+4w^2$

b)

$14w^2+2w$

c)

$2w^2+10w$

d)

$14w^3+2w^2$

9.

Simplify the expression. $\left(a+2\right)\left(3a-1\right)$

a)

$8a-2$

b)

$8a+1$

c)

$3a^2+4a-2$

d)

$3a^2+5a-2$

10.

Simplify the expression. $\left(3x+2\right)\left(3x-2\right)$

a)

$6x^2$

b)

$9x^2-4$

c)

$9x^2+12x-4$

d)

$9x^2-12x-4$

11.

$\left(m+3\right)\left(m^2-2m+2\right)$ Simplify the expression.

a)

$m³+m^2-4m+6$

b)

$m^3-2m^2+6$

c)

$m^3+m^2-6m+6$

d)

$m^2-3m+6$

12.

Simplify the expression. $\frac{15a^3b^2-9a^2b+3ab}{3ab}$

a)

$5a^2b-3a$

b)

$5a^2b-3ab+ab$

c)

$5a^2b-3a+1$

d)

$5a^2b-3a+3$

13.

Identify all polynomials below that are prime.

a)

$x^2-49$

b)

$5a-18b$

c)

$y^2-2y+10$

d)

$2w^2-5w-12$

e)

$x^2+y^2$

14.

If the area of a rectangle can be represented by $\left(x^2+4x-60\right)$ which two expressions could represent its length and its width?

a)

$\left(x-6\right)$

b)

$\left(x-5\right)$

c)

$\left(x-12\right)$

d)

$\left(x-10\right)$

e)

$\left(x+10\right)$

15.

My level of understanding of polynomials is...

a)

I got this!

b)

I don't got this!!!

c)

I can figure it out...eventually.

d)

HELP!!!!!

16.

If the side length of a square could be given with the expression $\left(2x+5\right)$ , what expression could represent its area?

a)

$4x^2-3$

b)

$4x+10$

c)

$4x^2+25$

d)

$4x^2+20x+25$

#411 Polynomials and Factoring Review

Total questions: 16

Worksheet time: 4hrs 46mins

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