Enter Title

multiplying

100

What is the product of 4a³b² and -6a⁵b⁴

-24a⁸b⁶

200

What is product of (5x-1)(2x -3)

10x² -17x +3

300

What is the product of (x - 5)²

x² -10x +25

400

Find the product of (x-6)(x +6)

x² - 36

500

4a(4a + 1) + (a - 5)(a + 3)

4a² + 1 + a² -2a - 15

5a² -2a - 14

Standard form

100

Write 4x³ + 12x⁵ - 16x in standard form. 

12x⁵ + 4x³ - 16x

200

Write the following in standard form.

-5 + 10x⁴ - 4x⁵ + 3x

10x⁴ - 4x⁵ + 3x -5

300

Write the following in standard form and then state the degree and leading coefficient. 

12x⁶ + 12x³ + 10x⁸ - 15x

10x⁸ + 12x⁶ +12x³ - 15x

Leading coefficient 10

degree 8

400

Write in standard form and write the leading coefficient and degree

12a² - 5a³ + 10 - 10a

-5a³ +12a² + 10a +10

Leading coefficient -5

degree 3

500

Combine the polynomial and then write in standard form stating the leading coefficient, degree and the constant.

3x² - 10x + 3(x² - 5x) + 5

-25x + 5

Leading coefficient -s -25 and the degree is 1 constant is 5

Misc

100

(4x³ )(-3x⁵)

-15x⁸

200

 Solve the multistep equation

4(x -12) - 2x = 3x + 12

x = -60

300

Simplify (4x³)³

64x⁹

400

Solve the linear equation for p.

sp + tp -z =  2z

sp + tp = 3z

p(s + T) = 3z

p = 3x/s+t

500

Solve the literal equation r.

Q = 4r - p

 (Q + p)/4 

Adding and subtracting polynomials

100

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

8x -3y

200

(3x - 2y) - (2x +7y)

x -9y

300

(2x + 4y + 4z) + ( 4x -2y - 6z)

6x +2y - 2z

400

(8ab - 6a + 7b) - ( 6ab + 12a - 10b)

2ab -18a + 17b

500

(5a² - 4a +6) - (-10a² -4a - 10)

15a² + 16

Factoring

100

Factor out the GCF from the given binomial

       12x³ + 4x²

 4x² ( 3x +1)

200

Factor the trinomial

   x² - 4x - 21

(x+7)(x-3)

300

Factor the trinomial 

4x² - 81

(2x +9)(2x -9)

400

Factor Completely 

8x² + 12x -8

4(x+2)(2x-1)

500

Factor completely

3x³ - 12x² -63x

^{3x(x +7)(x-3)}