Adding, Subtracting, and Multiplying, Oh My!

Add Up What's Been Lost

100

It's the simplification of these two polynomials

(6x² + 2x -3) + (-4x² - 2x + 3)

What is 2x² ?

200

It's the result when these two polynomials are combined:

(8x⁴ - 6x³ + 3x²) + (7x² - 18x³ + 4x⁴)

What is 12x⁴ - 24x³ + 10x² ?

300

It is the leading coefficient of the simplified polynomial below:

(93y - 47 + 65x²) + (35x² - 53 - 75x³ + 7y)

What is -75 ?

400

It's what you get after you add up all the coefficients of the even exponent terms

(7x³ - 6x² + 5x⁴) + (12x⁶ - 4x⁵ + 3x⁴)

What is 14 ?

500

(-14mn³ + 8m³n²) + (2mn³ + 14m⁴n² - 11m³n²) + (-13m³n² + 8m²n²)

What is 14m⁴n² - 16m³n² - 12mn³ + 8m²n² ?

Subtract the Subtractors

100

(4x² - 3x³) - (5x³ - 3x²)

What is -8x³ + 7x² ?

200

(5n + n⁴) - (5n³ - 2n⁴)

What is 3n⁴ - 5n³ + 5n ?

300

(10a⁴b + 10a⁴) - (3b + 11a⁴ - 2a⁴b) - (a⁴b + 4b)

What is 11a⁴b - a⁴ - 7b ?

400

(-2y - 9x⁴y) + (-4y + 12xy + 7x⁴y) - (-x⁴y + 10xy)

What is -x⁴y + 2xy - 6y ?

500

(11a + 6ab⁴) - (ab⁴ + 8a - 9b) - (3a⁴b⁴ + a)

What is -3a⁴b⁴ + 5ab⁴ + 9b + 2a ?

Multiply the Power of One

100

(5k + 1)(2k + 3)

What is 10k² + 17k + 3 ?

200

Find the product

(-7x + 8)(4x + 6)

What is -28x² - 10x + 48 ?

300

Find the product

(-4x - 4)(-5x - 7)

What is 20x² + 48x + 28 ?

400

Find the product

(-3x² - 2x - 1)(8x² + x - 3)

What is -24x⁴ - 19x³ - x² + 5x + 3 ?

500

Find the product

(7n² - 4n + 6)(-n² + 8n + 8)

What is -7n⁴ + 60n³ + 18n² + 16n + 48 ?

Factor In How Great You Are

100

Factor the common factor out of the expression below

n² + 7n

What is n(n + 7) ?

200

Factor out the common factor in the polynomial

100n² + 10n⁵

What is 10n²(10 + n³) ?

300

80mn² + 24mn - 8m

What is 8m (10n² + 3n -1) ?

400

30u²v⁵ + 3u²v³ - 9u²v²

What is 3u²v² (10v³ + v - 3) ?

500

-2a⁴b - 6ab²c² + 5b²c + 2a

What is -2a⁴b - 6ab²c² + 5b²c + 2a ?

Be the Factor You Want To See In the World

100

Factor completely

a² + 15a + 54

What is (a + 9)(a + 6) ?

200

x² - 5x - 6

What is (x + 1)(x - 6) ?

300

n² - 11n + 24

What is (n - 8)(n - 3) ?

400

v² - 16

What is (v - 4)(v + 4) ?

500

2x² - 8x - 120

What is 2(x - 10)(x + 6) ?