Factoring & Solving Polynomial Equations

Identify the Degree

100

Identify the degree:

7n³

3rd degree

200

Identify the degree and leading coefficient:

10 - 4p²

2nd degree; -4

300

Identify the degree, leading coefficient, & the number of terms.

5h + 7h⁴ - 2

4th degree; 7; 3 terms

400

Identify the degree: 5x²y

3rd degree

500

Identify the degree, the leading coefficient, & the number of terms: t² - t³ - 10t

3rd degree; -1; trinomial

Adding & Subtracting Polynomials

100

Add: (5y + 4) + (-2y + 6)

3y + 10

200

Add: (−3p³+5p²−2p)+(−p³−8p²−15p)

−4p³ − 3p² − 17p

300

Add: (s³−2s−9)+(2s²−6s³+s)

−5s³+2s²−s−9

400

Subtract: (y²−4y+9)−(3y²−6y−9)

−2y²+2y+18

500

Subtract (−r−10)−(−4r³+r²+7r)

4r³−r²−8r−10

Multiplying Polynomials

100

Find the product: (x+ 1)(x + 3)

x²+4x+3

200

Find the product: (z −5)(z + 3) 

z¹−2x³−15

300

(−3 + 2j)(4j − 7)

8j²−26j−21

400

(8 − 4x)(2x + 6)

−8x²−8x+48

500

(3e²−5e+7)(6e+1)

18e³−27e²+37e+7

factoring

100

Factor: 2x³+6x²-2x

2x(x²+3x-1)

200

Solve the equation: 3x³ - x²- 12x + 4 = 0.

(3x-1)(x+2)(x-2)=0

300

Factor the equation: 3x^4 - x^3 + 3x^2 - x= 0.

x(3x+1)(x+i)(x-i)=0

400

Solve the equation: 3x^3 - 4x^2 +3x - 4

{ 4/3, i, -i }

500

Factor: 3x³+5x²-9x-15 = 0

(3x+5)(x²-3) = 0

Solving Polynomial Equations

100

Solve each equation: 2x(x − 4) = 0

x = 0 or x = 4

200

Solve. (x−3)(x−9) = 0

x = 3 or x = 9

300

Solve. (3m + 6)(5m − 5) = 0 

m = −2 or m = 1

400

Solve by factoring: 3x⁵−6x⁴−45x³ = 0

x = −3, x = 0, or x = 5

500

Solve the equation: x³+x² = 4x + 4

x = −1, x = −2, or x = 2