Topic 6 Vocabulary
The form (a + b)(a - b) = a2 - b2
What is the Difference of Two Squares formula?
The sum of (12x2 + 7x - 15) + (4x2 - 5x + 7).
What is 16x2 + 2x - 8?
The factored form of x2 + 13x - 14.
What is (x - 1)(x + 14)?
The GCF of 52x5, 16x2, and 8x3.
What is 4x2?
The factored form of 25z2 - 16.
What is (5z+4)(5z-4)?
A monomial or the sum or difference of two or more monomials, called terms.
What is a Polynomial?
The difference of (15x2 - 6x + 8) - (9x2 + 4x +10).
What is 6x2 - 10x - 2?
The factored form of x2 + 18xy - 88y2.
What is (x - 4y)(x + 22y)?
The quotient of 12x4 - 6x6 + 21x2 divided by 3x.
What is x(4x2 - 2x4 + 7)?
The factored form of 9p2 + 6p + 1?
What is (3p+1)2?
The sum of the exponents of the variables of a monomial.
What is the degree of a monomial?
The product of (4x + 5)(7x + 8).
What is 28x2 + 67x + 40?
The factored form 2x2 - 5x - 12.
What is (2x + 3)(x - 4)?
The factored form of 56x6 + 21x4 + 84x3.
What is 7x3(8x3 + 3x + 12)?
The factored form of c2 – 2c +1
(c-1)2
The forms a2 + 2ab + b2 OR a2 - 2ab + b2.
What is the formula of a perfect square trinomial?
The product of (5x + 3)(8x2 + 3x + 7).
What is 40x3 + 39x2 + 44x + 21?
The factored form of 10x2 + 3x - 1
What is (5x - 1)(2x + 1)?
Factor 36x3y5 - 18x6y4 + 45x7y9 - 63x4y6 completely.
What is 9x3y4 (4y - 2x3 + 5x4y5 - 7xy2)?
The factored form of 216k2+72k+6.
What is 6(6k+1)2?
The definition of the Closure Property.
What is a property that states polynomials are closed under addition or subtraction because the result of these operations is another polynomial?
The area of a piece of fabric has a length of 3x2 + 2x - 8 feet and a width of 2x + 3 feet.
What is (6x3 + 13x2 -10x - 24)?
The factor that represents the length of a rectangular pool when the area of the pool is represented by the expression 2x2 + 9x - 5 ft2 and the width of the pool is represented by x + 5 ft.
What is (2x - 1)?
A farmer wants to plant three rectangular fields so that the widths are the same. The areas of the fields are 12x2y, 9xy2, and 21xy ft2. The greatest possible width of the fields if x=3 and y=4 is
What is 36 ft?
A square painting is displayed in an art museum. The canvas has an area of 49n2 – 168n+ 144. Factor the trinomial to find the side lengths of the canvas.
What is (7n – 12)2?