Polynomials & Factoring

Degrees

100

This is the degree of b³.

What is the 3rd?

200

This is the degree of 4x⁸.

What is 8th?

300

This is the degree of 7x⁴n⁵y^9.

What is 18th?

400

This is the degree of the ENTIRE polynomial 2x³ - 4x² + 3x - 1.

What is 3rd? (cubic)

500

This is the degree of the entire polynomial x² + 4x - 3.

What is 2nd? (quadratic)

Standard Form

100

This is the polynomial 4 + 2x² written correctly in standard form.

What is 2x² + 4?

200

This is 7x² + 9x⁵ - 1 - 2x⁴ - 6x written in standard form.

What is 9x⁵ - 2x⁴ + 7x² - 6x - 1?

300

Multiplied and rewritten in standard form this is (x + 5)(x + 2).

What is x² + 7x + 10?

400

Rewritten in standard form this is the polynomial x + 4 - 3x².

What is - 3x² + x + 4?

500

Simplified and rewritten in standard form the polynomial 6x³ + 2x² - 18x + 7x - 8x⁴ + 2 + 10 - 2x³.

What is -8x⁴ + 4x³ + 2x² - 11x + 12?

Add & Subtract

100

Adding (2x³ + 5x - 3) + (8x³ - 4x + 2)

What is 10x³ +x -1 ?

200

Adding (-3x² - 12x + 9) + (-4x² +7x - 7)

What is -7x² -5x + 2 ?

300

Subtracting (13x⁵ + 9x³ + 10) - (3x⁵ + 4x + 1)

What is 10x⁵ + 9x³ - 4x + 9   ?

400

Subtracting (2x² - 40x + 5) - (5x² + 13x - 9)

What is -3x² - 53x + 14   ?

500

By multiplying, then adding 2x(3x³ - 4x² + 2x) + (6x³ - 2x + 1)

What is 6x⁴ - 2x³ +2x² - 2x + 1   ?

Factoring

100

By factoring 4x³ + 6x²

What is 2x²(2x + 3) ?

200

By factoring 8x² + 8x

What is 8x(x + 1)  ?

300

By factoring 6x⁸ - 15x⁵ + 12x⁴

3x⁴(2x⁴ - 5x + 4)

400

By factoring 32x² + 8x - 16

What is 8(4x² + x - 2)  ?

500

By factoring x² - 11x + 24

What is (x - 8)(x - 3)  ?