Polynomial and Quadratics Review

Multiplying Polynomials

100

(x + 1)3x

What is 3x² + 3x?

200

x²(3x + 1)

What is 3x³ + x²?

300

(x + 1)(x - 3)

What is x² - 2x - 3?

400

(2x + 1)(3x² - 4)

What is 6x³ + 3x² - 8x - 4?

500

(x² + 3x + 1)(x² - 4x + 2)

What is x⁴ - x³ - 9x² + 2x + 2?

Factoring and Radicals

100

Simplify or factor the GCF of 3x³+6x²-3x

What is 3x(x²+2x-1)

200

Factored form of x²-2x-63

What is (x-9)(x+7)

300

Factored for of (x² - 4x - 5)

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

400

Simplified form of the square root of 200

What is + or - 10 square root of 2

500

The solutions for (x+9)²=64

What is x=-1 and x=-17

Vocabulary

100

An expression with a degree of 1

What is linear?

200

A polynomial with exactly 3 terms

What is a trinomial?

300

A monomial with a degree of 0

What is a constant?

400

An expression with a degree of three

What is cubic?

500

Characterized by a degree of 2 or a data set having a consistent second difference

What is Quadratic?

Special Cases

100

(x + 1)²

What is x² + 2x + 1?

200

(x + 1)(x - 1)

What is x² - 1?

300

(2x - 3)²

What is 4x² - 12x + 9?

400

(2x² + 3x)(2x² - 3x)

What is 4x⁴ - 9x²?

500

(3xy + 3y)²

What is 9x²y² + 18xy² + 9y²?

Potpourri

100

Simplify: (9x - 6) - (-5x + 7)

What is 14x -13?

200

Simplify: (-7x²y + xy + 3x + 2) - (5x²y - 5xy - 6x - 7)

What is -12x²y + 6xy + 9x + 9?

300

The height, h(t) in feet of an object thrown into the air with an initial upward velocity of 63 feet per second is given by the formula h(t) = -16t² + 63t, where t is the time in seconds. What is the height of the object after 3 seconds?

What is 45 feet?

400

a + 4(6a + 2b²) + (a² - 6b²)

What is a² + 25a + 2b²?

500

In the formula A = P(1 + r)^t, P is the principal, r is the annual rate of interest, and A is the amount after t years. An account earning interest at a rate of 4% has a principal of $2,000. If no more deposits or withdrawals are made, about how much money will be in the account after three years?

What is $2249.73?