Grade 10 Polynomials

Classify & Describe

100

What is the constant in the following polynomial:

3x⁴y²z³ -15xy⁴ -3x² -11

-11

200

Name the polynomial:

4x²-13x+1

quadratic trinomial

300

Write an example of a cubic monomial with 2 variables and a coefficient of 5

 - multiple answers

400

Name the polynomial:

4x⁵-3x³-2x²+x+10

quintic polynomial

500

What is the degree of the following polynomial:

-3x⁴y²+4xy³+12xy

6

Operations on Polynomials

100

(3x³-4x²+5x-7)+(-2x³+x²-5x+16)

=2x³-3x²+9

200

(x-5)(x+1)

=x²- 4x- 5

300

3x³y³/15y²

=x³y/5

400

(xy² - 4xy+5x²) - (3xy²- 6x²+3xy)

=-2xy² - 7xy+11x²

500

-2(3x²-5x+1)+3x(x²+7x+4) - (x+5)

3x³+15x²+21x-7

GCF

100

Determine the GCF of the following numbers:

45 and 130

5

200

Determine the greatest common factor between the following 2 expressions:

x³y⁵z²   and     x²yz⁶

x²yz²

300

Factor the following expression:

32x⁵y² - 16xy³

8xy²(4x⁴-2y)

400

Factor the following expression

-3x²y⁵ - 3x³y³+30x²y³

-3x²y³(y²+x-10)

Factoring Trinomials

100

Factor:

x²+10x+24

=(x+6)(x+4)

200

Factor:

x² - 10x+25

(x-5)(x-5)   or (x-5)²

300

Factor:

x² -9x-36

(x-12)(x+3)

400

Factor:

-2x²+26x - 84

-2(x-7)(x-6)

500

6x²+29x+9

(3x+1)(2x+9)

Factoring Difference of Squares

100

x² - 4

(x-2)(x+2)

200

x² - y²

(x-y)(x+y)

300

9x² - 49y²

(3x-7y)(3x+7y)

400

1 - 100x⁶

(1+10x³)(1-10x³)

500

8x² -2

2(4x²-1)

2(4x-1)(4x+1)