Polynomials Reivew

Classification

100

Classify the polynomial: 

-x²+x-3

Quadratic Trinomial

200

Classify the Polynomial: 

7y³-10y²

Cubic Binomial

300

Classify the Polynomial:

3x

Linear Monomial

400

Classify the Polynomial:

6n⁴-3n²+6n-3

Quartic Polynomial

500

Classify the polynomial: 

-4x-1+x⁴-2x²

Quartic Polynomial

Add/Sub

100

(4k+1)+(5k²+6k+1)

5k²+10k+2

200

(5t²+4t+6)-(2t-1)

5t²+2t+5

300

(7x²+5x+1)+(-9x²+2x+9)

-2x²+7x+10

400

(-6x²-7x-6)-(3x²+3)

-9x²-7x-9

500

(-8x²-5x+8)-(-3-6x²+3x)

-2x²-8x+11

Multiply/Divide

100

Simplify by multiplying. 

-5x(4x²+9)

-20x³-45x

200

Simplify by dividing:

24t²+36t / 6t

4t+6

300

Simplify by multiplying:

(2v+1)(v-1)

2v²-1

400

Simplify by multiplying:

-7b²(-3b²+4b-2)

21b⁴-28b³+14b²

500

Simplify by Dividing: 

40y⁴-5y³-30y²-10y / 5y

8y³-y²-6y-2

Factoring

100

Factor using the X method: 

h²+6h+8

(h+2)(h+4)

200

Factor using the X method: 

x²-11x+24

(x-3)(x-8)

300

Factor the difference of squares:

121x²-100

(11x-10)(11x+10)

400

Factor the trinomial using the X method:

x²+6x-27

(x-3)(x+9)

500

Factor the difference of perfect squares:

49x⁴-1

(7x²-1)(7x²+1)

GCFs

100

Factor out the GCF: 

16x²+56

8(2x²+7)

200

Factor out the GCF: 

28+21x²

7(4+3x²)

300

Factor out the GCF, then factor the difference of squares:

8-2x⁴

2(2+x²)(2-x²)

400

Factor out a GCF, then factor the trinomial using the X method.

-2x²-18x-36

-2(x+6)(x+3)

500

Factor out the GCF, then factor the trinomial using the X method:

-5x³+45x²-90x

-5x(x-3)(x-6)