Polynomials

Degree/Leading Coefficient

100

The degree and leading coefficient of 8x³.

What is 3 and 8?

200

The leading coefficient of x²-9x³.

What is -9?

300

The degree of 3m⁵n²+6mn.

What is 7?

400

The degree and leading coefficient of 5a-9ab+2abc.

What is 3 and 2?

500

The degree and leading coefficient of -8x²+xyz+y²z³.

What is 5 and 1?

Add/Subtract Standard Form

100

2x²+8x² in standard form

What is 10x²?

200

(4x⁵-3x²)-(2x⁵+x²) in standard form

What is 2x⁵-4x²?

300

(-7x²+14+2x)+(10x+7-5x²) in standard form

-12x²+12x+21

400

(-9n²-5n³-3n)-(-10n³-12n-7n²) in standard form

What is 5n³-2n²+9n?

500

(-10x+2-x³-x⁴)-(-x⁴-10x-x²+2-x³) in standard form

What is x²?

Multiply Polynomials

100

2b(3b-11) in standard form

What is 6b²-22b?

200

4x²(2x³-7x²+x) in standard form

What is 8x⁵-28x⁴+4x³?

300

(2x+3)(2x-3) in standard form

What is 4x²-9?

400

(n-1)(2n-2) in standard form

What is 2n²-4n+2?

500

(8x-4)(5x+6) in standard form

What is 40x²+28x-24?

Factor Polynomials 1

100

4n⁹+12n with GCF factored out

What is 4n(n⁸+3)?

200

x²-8x+16 factored completely

What is (x-4)²?

300

121n²-25 factored completely

What is (11n+5)(11n-5)?

400

2x²+11x+5 factored completely

What is (2x+1)(x+5)?

500

4x²+16x+16 factored completely

What is 4(x+2)² or 4(x+2)(x+2)? 

Factor Polynomials 2

100

x²+9x+8 factored completely

What is (x+8)(x+1)?

200

x²+14x+3 factored completely

What are non-factorable polynomials with relatively prime terms?

300

4x²-4x-120 factored completely

What is 4(x+5)(x-6)?

400

5x²+19x+12 factored completely

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

500

6x²-26x-20 factored completely

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