Algebra II unit 6 practice test

Factor the polynomial. 64x^3 +8

(4x+2)(16x^2-8x+4)

Factor the polynomial. x^3 -27

(x - 3)(x^2 + 3x + 9)

Divide using the synthetic division. -5 | 1 -2 -23 60 | ----------------------

-5 | 1 -2 -23 60 | -5 35 -60 ------------------------- 1 -7 12 0 not -x^2 + 7x - 12 not x - 7x + 12x

Divide using the synthetic division. -7 | 1 8 -49 -392 | -----------------------

-7 | 1 8 -49 -392 | -7 -7 392 ------------------------ 1 1 -56 0 NOT x + x - 56

Subtract. (5x-1)-(3xy +c)

5x - 1 - 3xy - c

Add. (2x-9y)+(4x+7b)

6x - 9y + 7b

Divide. (6x^3+8x^2-6x+4)-:(x+2)

6x^2 - 4x + 2

Multiply

7ax^2 + 14ax - 35a - x^2 - 2x + 5

Find the composition of the function g(f(x)). f(x)=x+3; g(x)=7x^2

7x^2 + 42x +63

Choose the best estimate for the domain and range of the graph of the polynomial function. (2, 0) . . . . . . . . . .

domain: not (A) -1<= x <= 5 NOT F range: not (D) - oo <= x <= oo NOT B

The graph of the ___ of a polynomial function is the reflection of the graph of the polynomial function over the line y=x.

inverse

The denominators of any rational roots of a polynomial will be the factors of the ___ coefficient.

leading

If the highest exponent of a polynomial function is ___, then the range of the function is always all real numbers.

odd

Each number in Pascal's Triangle is the ___ of the two numbers directly above it in the previous row.

sum

A shortcut method of dividing a polynomial by a linear polynomial by using only the coefficients of the terms of the polynomial is called ___.

synthetic division

Find the composition of the function f(g(x)). f(x)=2x+2; g(x)=x/2-1

x

Find the inverse of the function. y=5x-10

x/5 + 2

Find the inverse of the function. y = 4x^2 +2

±√(x-2) ------ 2

Use the constant term and leading coefficient to list all the potential roots of the expression. 2x^4+3x^3+6x^2-2

NOT SURE factors of constant: 1, 2, -1, -2 factors of leading coefficient: 4, -4 potential roots:1, 1/2, -1, -1/2, 2, -2

Apply the horizontal or vertical line test to determine if the inverse of the function is a function. Is the inverse of the function a function? __________ (0, 2) . . . . . . . . (2, -4)

No

The triangle of numbers used to find the pattern for any power of binomials is called ___ Triangle.

Pascal's

Use Pascal's Triangle to help find the missing values. x^5-5x^b+10x^3-10x^2+ax-1 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1

a= not 1 b= not 3 a= 5 b= 2 (GOT 50% on this one)

The numerators of any rational roots of a polynomial will be the factors of the ___ term.

constant

The ___ of a polynomial function is always all real numbers.

domain