Solving Polynomials

Solving Polynomials by Factoring

100

x² +2x - 63 = 0

x = -9 and x = 7

200

x² + 10x + 24 = 0

x = -6 and x = -4

300

3x² +8x +4 = 0

x = -2/3 and x = -2

400

2x² +5x - 3 = 0

x = 1/2 and x = -3

500

x² -3x - 54 = 0

x = 9 and x = -6

Factoring trinomials

100

2x² +7x+3

(2x+1)(x+3)

200

7x² -36x+5

(7x-1)(x-5)

300

2x²-12x+10

(2x-2)(x-5)

400

5x² +26x+5

(5x+1)(x+5)

500

3x²-10x+7

(3x-7)(x-1)

Factor by Grouping

100

Find the GCF: 2x⁵, 9x⁴

x⁴

200

Find the GCF: 3x², 12x

3x

300

Find the GCF: 12x⁴y³, 6x³y², 24x²y⁴

6x²y²

400

Find the GCF: 4x³, 10x²

2x²

500

Find the GCF: 18x³, 32x²+6x

2x

Factor by GCF

100

4x²+16x³-8x²

4x²(x²+4x-2)

200

8-4x²

4(2-x²)

300

18x³-6x

6x(3x²-1)

400

10x³y⁴-6x²y⁶

2x²y⁴(5x³-3y²)

500

14x²+10x

2x(7x+5)

Miscellaneous

100

What is the slope and y-intercept of the following line? y=5x-2

Slope=5 Y-Intercept=-2

200

2x+8=5x-7

x = 5

300

Solve the system of equations by using elimination. 2x + y = 9, 3x – y = 16

x=5, y=-1

400

x³ + 6x² -x -6 = 0

x= 1,-1,-6

500

Write a polynomial of degree 3 in factored form with the following roots:

0.-2,5

x(x + 2)(x - 5)