Polynomials
Quadratics
Vocabulary
Properties/Slope
100
A polynomial is in this form when terms are ordered from highest exponent on the variable to lowest.
What is standard form?
100
This point of a parabola is often referred to as a minimum or a maximum.
What is a vertex?
100
Terms that have variable(s) raised to the same power(s). They may be combined by addition or subtraction.
What are like terms?
100
Write an example of the associative property.
(3+4)+5=3+(4+5)
200
The name of a polynomial with three terms.
What is a trinomial?
200
It is the zero(s) of the quadratic function graphed below:
What are -4 and 0?
200
Two other words for the zeros of a function.
What are the roots and solutions?
200
Find the slope between the points
( 2 , 5 ) and ( 6 , 13 )
The slope is 2
300
Simplified, standard form of
(-8x+10)-(3x-8)
What is
-11x+18?
300
It is the equation of the axis of symmetry of the graph of the following quadratic equation:
y=x^2 +2x-8
What is
x=-1
?
300
The coefficient of this monomial term.
-12xy^3
What is
-12
300
What property is it when you multiply a number by 1 and get the same number?
Multiplicative Identity
400
Multiply
(4a^3)(5a^2)
What is
20a^5
400
Find the roots
y=x^2-x-6
x=3 and x=-2
400
Average rate of change is referring to what? What is the formula?
Slope.
slope=(y2-y1)/(x2-x1)
400
Solve the equation for x.
5x+30-9x=-42+7x+28
What is x=4?
500
Write the polynomial in standard form. What is the degree of the polynomial? What is the constant?
7x^2-2x+9+3x^3
Degree is 3. Constant is 9.
3x^3+7x^2-2x+9
500
What are the roots?
No roots
500
The way you read the following function notation [do not read it aloud!]:
f(x)
What is "f of x"?
500
Find the slope between the two points.
(-2 ,-4) and (3,5)
9/5
600
It's the simplified, standard form of
(x-2)(x-8)
What is
x^2-10x+16
600
Find the zeros
x^2-2x-15
x=5 and x=-3
600
To simplify the expression
-(2x+6)
you need to apply this property.
What is the Distributive Property?
600
Explain what the slope and y-intercept mean in a word problem.
Slope is the average rate of change and the y-intercept is the initial/starting amount.