Polynomials and Factoring

Adding and Subtracting Polynomials

100

Sum of (4x² + 6) + (-x² + 3x - 4)

What is 3x² + 3x + 2 ?

200

Difference of (x³ - 2x² + 3x - 5) - (x³ - 3x² + 6)

What is x² + 3x - 11 ?

300

Sum of (b⁴ - 2b³ - b +5) + (3b³ + b - 5)

What is b⁴ + b³ ?

400

Difference of (8y² +3y) - (6y² -5y - 10)

What is 2y² + 8y + 10 ?

500

7 - 3n + 5n²  Classify polynomial by degree, and number of terms

quadratic, trinomial 

Multiplying Polynomials

100

Multiply (2x)(8 - x - 3x²)

What is 16x - 2x² - 6x³ ?

200

Multiply (3t + 5)(t - 3)

What is 3t² - 4t - 15 ?

300

Multiply (y - 4)(y + 4)

What is y² - 16 ?

400

Multiply (2x + 10)(1/2x + 2)

What is x² + 9x + 20?

500

Multiply (3n + 4m)²

What is 9n² + 24mn + 16m² ?

Factoring Trinomials

100

Factor y² + 5y - 14

What is (y + 7)(y - 2) ?

200

Factor x² - 3x - 88

What is (x + 8)(x - 11) ?

300

Solve t² + 23t + 90

What is (t + 18)(t + 5) t= -18 and -5 ?

400

Factor 14x² + 36x - 18

What is 2(7x - 3)(x + 3) ?

500

Factor 6x² + 19x - 36 

(3x - 4)(2x + 9)

More Factoring

100

Factor 49x² - 36

What is (7x - 6)(7x + 6) ?

200

Factor 4x² + 32x + 64

4(x + 4)(x + 4)

300

Factor 72 - 50y²

What is 2(6 + 5y)(6 - 5y)?

400

Factor 2n³ - 4n² - 30n

What is 2n(n + 3)(n - 5) ?

500

Factor y⁴ + 3y³ + 2y² + 6y

What is y(y² + 2)(y + 3)?

Anything Goes

100

Multiply (x + 12)(x + 7)

x² + 19x +84

200

Multiply (5x + 5)(5x - 5)

What is 25x² - 25 ?

300

Multiply (x - 11)²

What is x² - 22x + 121 ?

400

Factor x² + 4x - 7

What is NOT Factorable :-) ?

500

Factor completely 48x³ - 75x

What is 3x(4x - 5)(4x + 5)