Algebra 2

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factor: 9x^2 - 16

(3x + 4)(3x - 4)

factor: 3x^2 + 26x + 35

(3x+ 5)(x + 7)

factor: c^3 - 512

(c - 8)(c^2 + 8c + 64)

factor: x^2 + 14x + 48

(x + 6)(x + 8)

factor: x^3 + 216

(x + 6)(x^2 - 6x + 36)

factor: x^4 - 20x + 64

(x - 2)(x + 2)(x - 4)(x + 4)

factor: x^2 - 6x + 8

(x - 2)(x - 4)

factor: x^2 - 2x - 63

(x - 9)(x + 7)

ordered pairs

(x,y)

simplify: (2 - 5i) - (3 + 4i)

-1 - 9i

Find the slope of the line: y= -1/2x-4

-1/2

simplify: (2 + 5i)( -1 + 5i)

-27 + 5i

find the zeros and state the multiplicity: f(x) = (x + 3)^2(x - 5) ^6

-3, multiplicity 2; 5, multiplicity 6

simplify: (-6i)(-6i)

-36

factor: -15x^2 - 21x

-3x(5x + 7)

solve: x^2 + 18x + 81 = 0

-4, -14

use rational root theorem to list all possible rational roots of (x^3 + x^2 - 7x -4 = 0)

-4,-2,-1,1,2,4

solve: 9x^2 + 16 = 0

-4/3i, 4/3i

simplify: (-1 + 6i) + (-4 + 2i)

-5 + 8i

factor: 4x^2 + 28x - 32 =0

-8,1

Use the quadratic formula: 5x^2 + 9x - 2 = 0

1/5, -2

multiply and simplify if possible: sq. root of 6 and sq. root of 2

2 sq. root 3

find the roots: x^3 -2x^2 + 10x + 136 = 0

3 plus or minus 5i, -4

divide (3x^3 -3x^2 -4x + 3) by (x + 3)

3x^2 - 12x +32, Remainder of -93

write in factored form: 4x^3 + 8x^2 - 96x

4x(x - 4)(x + 6)

Find the square root: 3x^2 = 21

7, -7

axis of symmetry

A line that divides a plane figure or a graph into two congruent reflected halves

classify by degree and number of terms: -7x^5 -6x^4 + 4x^3

Quintic trinomial

absolute value

The distance a number is from zero on a number line. ALWAYS POSITIVE

write a polynomial function in standard form with zeros at 5, -4, and 1

f(x) = x^3 - 2x^2 - 19x +20

determine whether the function is linear or quadratic. Identify the quadratic,linear, and constant terms. f(x)= (3x+2)(-6x-3)

quadratic function quadratic term: -18x^2 linear term: -21x constant term:-6

zeros/roots

the values that cause a function to equal 0

relative minimum

where the function changes direction from decreasing to increasing

relative maximum

where the function changes direction from increasing to decreasing

Domain

x values

write the expression as a polynomial in standard form: (x + 6)(x - 4)

x^2 + 2x - 24

divide using synthetic: (x^4 + 15x^3 - 77x^2 + 13x - 36) by (x - 4)

x^3 + 19x^2 - x + 9

Range

y values

f(x) is the same as what?

y=


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