Algebra 2
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=
