Factor/ Simplify
Factor the trinomial.
x4+32x2+256
(x+16)2
expand the following
193-6
1/1936
x(7x2+4)
7x3+4x
How many solutions does the quadratic have if the statement below is true?
b2-4ac > 0
2
exponential growth looks like your __ hand.
right
Factor out a mononomial (find the GCF)
31a6b3+63a5
GCF: a5
Factored form: a5(31ab3+63)
(6x3)2
36x6
expanded power rule
Simplify the product
(3fg6)2(fg)4
9f6g16
Suppose you launch a model rocket with an upward starting velocity of v ft/s. You can use the equation h=-16t2+vt to find the rocket's altitude h feet t seconds after launch. Supposed the upward starting velocity is 160 ft/s. When will the rocket hit the ground?
10 seconds
Given f(x)=a*bx-c+d. Describe the transformation in the example below. ( v or h)
y=2*(3)-x-3
Vertical shift down 3
if x2+bx+c=(x+p)(x+q)
When b and c are positive, then p will be ___ and q will be ___.
When b and c are positive, then p will be positive, and q will be positive.
Convert from scientific notation to standard.
3.2 x 10-7
Factor out a mononomial (find the GCF)
9m4n5-27m2n3
GCF: 9m2n3
Factored form: 9m2n3(m2n2-3)
Solve using quadratic formula.
2x2+7x=9
x = 1 , -9/2
State whether the equation represents exponential growth, decay, or neither.
f(x)=5*.03x
exponential decay
Factor the polynomial
12x5 + 34x4 - 12x3
2x3(6x2+17x-6)
(-3p-5)(2p8)
-6p3
(6x3+2x-3)(-2x-4)
-12x4-24x3-4x2-2x+12
What is the best method to solve this quadratic? factoring, graphing, completing the square, square roots, or quadratic formula
5x2-13x-1=0
Quadratic formula
Given f(x)=a*bx-c+d. Describe the transformation in the example below. ( v or h)
y=1/2 *(2)x+5
vertical shift up 5
Simplify.
(6x3+8x2+8) - (7x3-7x2+3x-8)
-x3+15x2-3x+16
4-2
1/16
negative exponents
Name the polynomial.
24x6-2x3-5
6th degree trinomial
A rectangular sheet of paper has an area of 55in2. Its dimensions are (x+2) inches by (x+8) inches. What are the dimensions of sheet of paper?
5x11 inches
Find the balance in the account after the given period.
$2000 principal earning 5.4% compounded annually after 4 years
$2468.27