Polynomials
(x+7) (x-4)
X2+3x-28
The graph has ____ solutions when there are two x intercepts
2
What is a y intercept?
When the line crosses through the y axis - the number of the y coordinate when the x coordinate is zero
23
8
When do you use a solid line instead of a dashed line?
Solid line: less than or equal to and greater than or equal to.
Dashed line: less than and greater than
(X-2) (x+2)
X2-4
The graph has _____ solutions when the graph doesn’t cross the x axis
0
What is a Constant?
The term with no variables
122
144
How do you identify where is the solution set of a system of inequalities?
The solution set of a system of inequality is where the shaded area of the graph overlap.
x2+3x+x-4+3x2-2x-1
4x2+2x-5
The graph has ____ solution(s) when the graph crosses the x axis once
1
What is a polynomials in standard form?
A polynomial in standard form has the exponents in order from greatest to least
What do you do to the exponents when…
xa*xb
Add them
You could find slope on a graph by doing…
rise over run
(2x-7) (x+1) +2
2x2-5x-5
Solve for x by factoring
x2+6x+8
x=-2 and x=-4
What is a what is a axis of symmetry?
The Axis of symmetry is the line that goes through the vertex of a quadratic function
What do you to to the exponents when…
xa/xb
Subtract them
What is the first step in the Factor AC method?
Multiply the coefficient of the A term and the C term.
(2x+1) (x+2) +7x-1
2x2+12x+1
What is the quadratic formula?
-b+/-sqrt(b2-4ac)
————————-
2a
What is a parabola?
A U shaped curved graph that is a quadratic function.
What do you do when it’s a negative exponent?
Flip the term across the fraction bar and make the exponent positive.
What is a monomial?
An algebraic expression that has only one term