Solving
Combine like terms and write in standard form
3x + 4 - 9x -12- 2x2
-2x2 -6x- 8
Write the name of these signs:
>
<
>=
<=
Greater than
Less than
Greater than or equal to
Less than or equal to
Multiply and write in standard form
-2x^2(3x-6x^2-5)
12x^4-6x^3+10x^2
Give an example of a cubic trinomial.
Exponent =3 with three terms.
Where does the graph of this function cross the x-axis?
f(x)=(x-3)(x+2)
(3,0) and (-2,0)
14x- 21=21
Solve for x
x= 3
When you divide or multiply by a negative number, what happens to an inequality sign?
The sign flips
Multiply the two binomials
(4n + 1)(2n + 6)
8n^2+26n+6
-x is a linear function because it represents x to the power of 1. A constant term has no values of x.
Factor by grouping
6n^3+10n^2+3n+5
Answer:
(2n^2+1)(3n+5)
Solve for x
2x+6 = -12 -4x
x= -3
Solve:
13<= -2x+5
x<=-9 or -9>=x
Subtract
(3x^5-2x^4-5)-(2x^4+x^2-10)
3x^5-4x^4-x^2+5
Classify by degree and number of terms
-2x^2+7x-9
Quadratic trinomial
What is the y-intercept and vertex of this function?
4x^2-8x+7
y-intercept (0,7)
Vertex (1,3)
Simplify then solve: 5(x+20)= 7x+30
x=35
Solve
-48t+2 \leq -71t + 14
t=12/23
Add the polynomials and write in standard form
(3x^2-5x+6)+(-6x+x^2)
4x^2-11x+6
What is the GCF of the expression?
21r^2t^3
21r^2t^3
What are the roots (x-intercepts) of the function?
f(x)=x^2+10x-96
(x-6)=0 (x+16)=0
so
x=6 and x=-16
Simplify then solve
7(2x+1)-11= 6x+6
x=5/4
4x+4\leq9x+8
x>=-4/5
(7r^2 − 6r − 6)(2r − 4)
14r^3 − 40r^2 + 12r + 24
What is the GCF of the expression?
2y
2y
What is the axis of symmetry (x= ) and what is the vertex of the function
f(x)=4x^2-12x+16
axis of symmetry =1.5
Vertex = (1.5, 7)