Algebra 1B Final Exam Review

Adding/Subtracting Polynomials

100

(2x+3)+(10x-4)

12x-1

200

(3x²+9x-7)+(-8x²-12x-1)

-5x²-3x-8

300

(5x⁴+3x²-x)-(4x⁴-8x²+2x)

x⁴+11x²-3x

400

(6x⁵+10x³-7x²-3x-4)+(9x⁶-6x⁴+11x-5)

9x⁶+6x⁵-6x⁴+10x³-7x²+8x-9

500

(14x⁴+11x²-9x⁵)-(-14+5x⁵-11x²)

-14x⁵+14x⁴+22x²+14

Multiplying Polynomials

100

3x(7x+5)

21x²+15x

200

-6x³(2x²-8)

-12x⁵+48x³

300

(x+7)(x+9)

x²+16x+63

400

(9x+10)(4x-1)

36x²+31x-10

500

(2x-1)(5x²+3x-7)

10x³+x²-17x+7

Factoring Polynomials

100

Factor the GCF from the polynomial:

18x⁵-15x⁴+30x²

3x²(6x³-5x²+10)

200

Factor the trinomial:

x²+12x+20

(x+2)(x+10)

300

Factor the trinomial.

x²-100

(x+10)(x-10)

400

Factor the trinomial:

2x²+3x-9

(x+3)(2x-3)

500

Factor the trinomial:

15x²-27x-6

3(5x+1)(x-2)

Solving Quadratics By Factoring

100

Solve for x by factoring.

(5x-4)(2x+7)=0

x = 4/5

x = -7/2

200

Solve for x by factoring.

x²+7x+12=0

x = -3

x = -4

300

Solve for x by factoring.

x²-36=0

x = -6

x = 6

400

Solve for x by factoring.

6x²+37x+6=0

x = -6

x = -1/6

500

Solve for x by factoring.

4x²-15x-25=0

x = 5

x = -5/4

Solving Quadratics By Quadratic Formula

100

Solve using the Quadratic Formula.

x²+4x+3=0

x = -1

x = -3

200

Solve using the Quadratic Formula.

2x²+2x-12=0

x = 2

x = -3

300

Solve using the Quadratic Formula.

2x²+3x-20=0

x = -4

x = 5/2

400

Solve for x using the Quadratic Formula.

x²-4x+4=0

x = 2

500

Solve using the Quadratic Formula.

4x²+8x+3=0

x = -1/2

x = -3/2