Algebra 2
(2x+5)(3x-2)
6x2 + 11x - 10?
length = (x − 8) units and width = (x − 9) units
A rectangle has an area of (x2 − 17x + 72) square units. Since the area of a rectangle is determined using the formula, A = lw, what could be the length and width of the rectangle?
(7x2 + 5) (x - 3)
Antonia is factoring the polynomial, which has four terms. 7x3 - 21x2 + 5x - 15 7x2(x - 3) + 5(x -3) Which is the completely factored form of her polynomial?
4(x - 3)(2x + 5)
Completely factor the polynomial 8x2 - 24x + 20x - 60.
6 and 3
Juanita begins to factor an expression as shown. x2 + 3x - 18 = (x +__ )(x -__ )
60(5m2 +2m +3)
Logan saves the same amount of money each month for college. His current total savings is 300m2 + 120m + 180 dollars. Which factorization could represent the number of months and amount of a monthly deposit in dollars?
(5x2 + 2) (x + 4)
Ricardo is factoring the polynomial, which has four terms. 5x3 + 20x2 + 2x + 8 5x2(x + 4) + 2(x + 4) Which is the completely factored form of his polynomial?
3
Sari is factoring the polynomial 2x2 + 5x + 3. What is the missing number in her factorization? 2x2 + 5x + 3 = (2x +____)(x + 1)
2
Simon is factoring the polynomial. x2 - 4x - 12 (x - 6)(x + ___)
3x - 2
The diagram represents 6x2 - 7x + 2 with a factor of 2x - 1. What is the other factor of 6x2 - 7x + 2?
1
The model represents the factorization of 2x2 + 5x + 3. What is the missing term in the factorization of 2x2 + 5x + 3? (2x + 3)(x +___
(5x3)3 + (4y4)3
What is 125x9 + 64y12 written as a sum of cubes?
x^2-64
What is a difference of squares that has a factor of x + 8?
3x6
What is the cube root of 27x18?
2x9
What is the cube root of 8x27?
(z − 5)(z − 5)
What is the factored form of the polynomial?
(x − 4)(x − 12)
What is the factored form of the polynomial? x2 - 16x + 48
(x − 5)(x + 1)
What is the factored form of x2 − 4x − 5?
(7b - 9)(7b + 9)
What is the factorization of 49b2 − 81?
(9x5 + 10)(81x10 - 90x5 + 100)
What is the factorization of 729x15 + 1000?
(9a3 − 10)(9a3 + 10)
What is the factorization of 81a6 - 100?
4xy2
What is the greatest common factor of 4xy2 and 20x2y4?
4
What is the greatest common factor of 8m, 36m3, and 12?
4x2
What is the greatest common factor of the terms in the polynomial 4x4 - 32x3 - 60x2?
2x2
What is the greatest common factor of the terms in the polynomial 8x4 - 4x3 - 18x2?
4y2 + 14y + 34
What is the polynomial 3y2 + (y + 7)2 - 15 after it has been fully simplified and written in standard form?
3x - 8
Which binomial is a factor of 9x2 - 64?
9x2 - 25 = (3x - 5)(3x + 5)
Which equation is true?
4x2 - 25
Which expression is a difference of squares with a factor of 2x + 5?
(10n)2 − (1)2
Which expression is equivalent to 100 n2 − 1?
x6 - 27
Which is a difference of cubes?
12 - 7x
Which is a factor of 144 − 49x2?
6x2(3x - 4)(x - 1)
Which is the completely factored form of 18x4 - 42x3 + 24x2?
3(x + 1)(x - 5)
Which is the completely factored form of 3x2 - 12x - 15?
(2x + 7)(2x + 7)
Which is the completely factored form of 4x2 + 28x + 49?
2x(x + 3)(2x - 1)
Which is the completely factored form of 4x3 + 10x2 - 6x?
(8x - 3)(x + 2)
Which is the factorization of 8x2 + 13x - 6?
The difference has 4 terms and a degree of 7.
Which is true about the completely simplified difference of the polynomials 6x6 − x3y4 − 5xy5 and 4x5y + 2x3y4 + 5xy5?
1x3
Which monomial is a perfect cube?
27x15
Which monomial is a perfect cube?
16a2 - 4a + 4a - 1
Which polynomial can be simplified to a difference of squares?
4x2 + 9x - 28
Which polynomial has factors of 4x - 7 and x + 4?
25x2 - 36
Which polynomial is a difference of squares?
(5x − 4)(5x + 4)
Which product is equivalent to 25x2 - 16?
5x(2x - 3)(3x + 4)
Which product of prime polynomials is equivalent to 30x3 - 5x2 - 60x?
3x(3x - 2)(4x + 1)
Which product of prime polynomials is equivalent to 36x3 - 15x2 - 6x?
(x - 9)(x2 + 9x + 81)
Which product will result in a sum or difference of cubes?
It has 1 term and a degree of 5.
Which statement is true about the polynomial 3j4k − 2jk3 + jk3 − 2j4k + jk3 after it has been fully simplified?
(noun) the number value in a monomial
coefficient
a number that, when multiplied by itself twice, results in the number that appears under a cube root symbol
cube root
having the same amount, value, area, volume, or force
equivalent
(verb) to break up a polynomial into a product of polynomials that can be multiplied to get the original polynomial
factor
the product of two identical factors
perfect square
(noun) an irreducible polynomial with integer coefficients that cannot be factored into polynomials of lower degree over the real number system.
prime polynomial
a plan of action designed to achieve a specific goal
strategy
(noun) a polynomial consisting of exactly three terms
trinomial
to apply what is known to confirm an expected result
verify
