Polynomial Review- Round 1

Name That Polynomial!

100

Classify the polynomial by degree and number of terms.

5

constant; monomial

200

Classify the polynomial by degree and number of terms.

x⁴ + 2x - 4

quartic; trinomial

300

Classify the GCF of the polynomial below by degree.

8x⁴-4x³+24x²

quadratic

400

Find the product then classify the resulting polynomial by degree and number of terms.

-4g²(2g+7)

cubic; binomial

500

When you multiply two binomials together, this is the classification by number of terms of the resulting polynomial. 

trinomial

Operations with Polynomials

100

What is the linear coefficient (k) of the solution? 

(k² − 4k + 7) + (k² + 9k − 3)

5

200

What is the "s" coefficient of the solution?

(5r − 2s) − (9r −11s)

9

300

What is the "x²y²" coefficient of the solution? 

2y(6x – 4x²y) + 13x²y² – 6

5

400

What is the coefficient of the linear term (xy) in the solution.

(5x + 4y)(x – y)

-1

500

Simplify.

(-25x^4y^3+30x^2y^5)/(-5x^2y)

5x²y² - 6y⁴

GCF

100

What is the GCF?

54x³y −18x²y² + 27xy²

9xy

200

What is the GCF?

64x² – 4y²

4

300

What methods will be used to factor the polynomial completely?

ab² – a

a. GCF & Box Method

b. GCF & Difference of Squares

c. GCF only

d. Difference of Squares only

e. Box Method only

B

400

What is the GCF?

3m³n – 12m²n – 180mn

3mn

500

What is the GCF?

8x³y² – 36x²y² – 64xy³

4xy²

Difference of Squares

100

Factor.

y² – x²

(y + x)(y - x)

200

Factor.

64a² – 49

(8a + 7)(8a - 7)

300

Factor.

196a²b² – 225b²

b²(14a+15)(14a-15)

400

Factor.

64y⁴ - 16y⁶

16y⁴(2 + y)(2 - y)

500

Factor.

108x² – 48

12(3x + 2)(3x - 2)

Factoring Trinomials

100

Factor.

a² + 10a + 24 

(a + 6)(a + 4)

200

Factor.

b² - 2b - 63

(b - 9)(b + 7)

300

Factor.

3a³ - 30a² + 63a

3a(a - 7)(a - 3)

400

Factor.

8r² + 16r - 10

2(2r + 5)(2r - 1)

500

Factor.

9m² + 3m - 2

(3m + 2)(3m - 1)