Operations with Polynomials!

Name the Polynomial by degree and # of terms

100

4x³

What is cubic monomial

200

3m⁴ + 2

What is 4th degree (or quartic) binomial

300

4x² + 7x - 10

What is quadratic trinomial

400

x²y³

What is 5th-degree monomial

500

12x³y²+7x⁶

What is 6th-degree binomial

Simplify

100

(2x⁵-4x²+3)-(5x⁵+8x²+5x-6)

What is -3x⁵-12x²-5x+9

200

(m+9)(m-7)

What is m²+2m-63

300

6x(3x-2)

What is 18x² - 12x

400

(x+3)(x²-4x+6)

What is x³-x²-6x+18

500

(6x-2y)(2x+10y) - 3x(x-y)

What is 9x²+15xy-20y²

Factor the GCF

100

3x⁴+9x²

GCF: 3x²(x²=9)

200

4x² + 12xy + 8xy²

GCF: 4x

4x(x+3y+2y²)

300

-4p³+6p²-2p

GCF: -2p

-2p(2p²-3p+1)

400

Factor by grouping -4p⁴+6p³-18p²+27p

-2p³(2p-3) -9p(2p-3)

Final: (2p-3)(-2p³-9p)

500

4x⁹y³-16x⁵y⁴+32x³y⁵

GCF:4x³y³

4x³y³(x⁶-4x²y+8y²)

Factor: Special Cases

100

b²-16

What is (b-4)(b+4)

200

g²+14g+49

What is (g+7)(g+7)

300

9p²-1

What is (3p-1)(3p+1)

400

9p²+6p+1

What is (3p+1)(3p+1)

500

16x⁶-49y²

What is (4x³-7y)(4x³+7y)

Factor Trinomials

100

a²-14a+49

What is (a-7)²

200

a²-a-12

(a-4)(a+3)

300

12x²-7x-12

What is (3x-4)(4x+3)

400

2x²+7x-15

What is (2x-3)(x+5)

500

6x³-14x²-20x

Factor the GCF 1st: 2x(3x²-7x-10)

2x(3x-10)(x+1)