Vocabulary
This is a polynomial where the terms are arranged in order from the highest degree to the lowest degree.
What is the standard form of a polynomial?
(x + 5)(x − 5)
x^2 − 25
(2f4)6
64f24
9x2 − 1
(3x + 1)(3x − 1)
x2 + 2x - 15
(x + 5)(x - 3)
This property indicates that polynomials are closed under addition or subtraction because the result is another polynomial.
What is the closure property?
(p − 1)2
p2 − 2p + 1
t9 x t-8
t
4x2 − 4x + 1
(2x − 1)2
x2 + 7x + 10
(x + 2)(x + 5)
This is the product of the sum and difference of the same two values.
What is the difference of two squares?
(8a2 + 4)(8a2 − 4)
64a4 − 16
y7 x y3 x y2
y12
10n2 + 100n + 250
10(n + 5)2
x2 + 6x + 5
(x + 5)(x + 1)
This is an expression that is found by squaring a binomial expression.
What is a perfect square trinomial?
(3 + 02)(3 − 7v2)
9 − 21v2
8u(2z3)
16uz3
100x2 + 180x + 81
(10x +9)2
6x2 - 17x - 28
(6x + 7)(x + 4)
This is the degree of a monomial?
What is the sum of the exponents of the variables of a monomial?
Kennedy multiplies (x-3)(x+3) and gets an answer of x2 - 6x - 9. Describe and correct Kennedy's error.
She made an error by adding 3x - 3x = 6x when the terms were supposed to cancel out. The answer must be x2 - 9.
The shape of a basketball court is a rectangle with a perimeter of 36m2 + 2m - 10 and width of m2. Find the expression for the length
182 + m - 5
Sarah is organizing a bake sale for her school. She wants to make rectangular brownies with an area of x2 - 9 square centimeters. The length of each brownie is x - 3 centimeters. What is the width of each brownie?
The width of each brownie is x + 3 centimeters.
Emily is plating flowers in her garden. She wants to create a rectangular flowerbed with an area of x2 + 7x + 12 square units. The length of the flowerbed is x + 4 units. What is the width of the flowerbed?
The width of the flowerbed is x + 3 units.