Unit Test Review Module 3/Topic 1- Algebra 2
What is the completely factored form of 6x^2-13x-5?
(2x - 5)(3x + 1)
What is the completely factored form of 12xy - 9x - 8y + 6?
(3x - 2)(4y - 3)
If f(-5) = 0, what are all the factors of the function f(x)=x^3-19+30? Use the Remainder Theorem.
(x - 2)(x + 5)(x - 3)
The price that a company charged for a computer accessory is given by the equation where x is the number of accessories that are produced, in millions. It costs the company $10 to make each accessory. The company currently produces 2 million accessories and makes a profit of 100 million dollars. What other number of accessories produced yields the same profit?
1.45 million
What is the quotient of (2x4 - 3x3 - 3x2 + 7x - 3) ÷ (x2 - 2x + 1)?
2x2 + x - 3
Which expression is equivalent to (2g^3+4)^2?
4g^6+16g^3+16
Which expression shows the sum of the polynomials with like terms grouped together? (8x+3z-8z^2)+(4y-5z)
8x+4y+(-8z^2)+[3z+(-5z)]
The length of a rectangular field is represented by the expression 14x-3x^2+2y. The width of the field is represented by the expression 5x-7x^2+7y. How much greater is the length of the field than the width?
9x+4x^2-5y
If (x - 5) is a factor of f(x), which of the following must be true?
A root of f(x) is x = 5.
Anja divides (8x3 - 36x2 + 54x - 27) by (2x - 3) as shown below. What error does Anja make?
She makes a multiplication error.
Holly finds that (11m - 13n + 6mn) - (10m - 7n + 3mn) = m - 20n + 9mn. What error did Holly make?
She only used the additive inverse of 10m when combining like terms.
If (x + k) is a factor of f(x), which of the following must be true?
f(-k) = 0
A student factors 15c2 + c - 28 to the following.(c + 2)(15c - 14)Which statement about (c + 2)(15c - 14) is true?
The expression is not equivalent, but it is completely factored.
Teresa is factoring this polynomial by grouping. Which common factors should be used in the next step of factoring? 10x3+3x2−20x−6 (10x3+3x2)+(−20x−6)
x2 and −2
Which expression is a difference of cubes?
x^6-8
