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
9x^2 − 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
p^2 − 2p + 1
t9 x t-8
t
4x^2 − 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?
(8a^2 + 4)(8a^2 − 4)
64a^4 − 16
y7 x y3 x y2
y12
10n^2 + 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 + ^2 )(3 − 7v^2 )
9 − 49v^4
8u(2z3)
16uz3
100x^2 + 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 x^2-6x-9. Describe and correct Kennedy's error.
The error is that the given is a difference of two squares and the answer must be x^2-9.
The shape of a basketball court is a rectangle with a perimeter of 36m^2 + 2m - 10 and width of m^2. Find the expression for the length
18^2 + m - 5
Sarah is organizing a bake sale for her school. She wants to make rectangular brownies with an area of x^2-9 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.