Operations with Polynomials
This term describes multiplying every term inside parentheses by a number outside.
What is the distributive property?
A quadratic that looks like x2−25x^2 - 25x2−25 is an example of this special type of factoring.
What is the difference of two squares?
How many real solutions does
x^2=49
have?
What are two solutions
This part of the quadratic graph is the turning point.
What is the vertex?
In a projectile motion problem, the zeros usually represent this real-life event.
What is when the object hits the ground?
What is 6x^2+10
Factor completely:
x^2+7x+10
What is (x+5)(x+2)
Solve:
(x−4)(x+1)=0
WE WANT THE ZEROES
What are x = 4 and x = -1
For the equation
y=x^2−6x+2
the axis of symmetry is this value.
Use the formula -b/2a
What is x = 3
The maximum profit or maximum height of a quadratic occurs at this location.
What is the vertex?
(x+4)+(2x−7)
Factor:
4x^2−9
What is (2x−3)(2x+3)
Solve: x^2-9=0
What are x = 3 and x = -3
In standard form, this value represents the y-intercept.
What is c
A quadratic model shows a ball launched from the ground. Which value represents the starting height?
What is the y-intercept?
(x-3)(x+6) solve with box method
What is x^2+3x-18
Factor or say “not factorable”:
x^2+16
What is not factorable
How many real solutions does
x2=−16
have?
What is zero solutions
If the value of a is negative, the parabola opens in this direction.
Down like a frown cmon big man lets GO
Why is a negative x-value usually ignored in a real-world quadratic problem?
What is because time/price/length cannot be negative?
Which expression is equivalent to 2x(7x^2-3x+2)+3x(2x^2+x-4)
What is 20x^3-3x^2-8x
Factor completely:
6x2+11x−10
What is (3x-2)(2x+5)
Solve:
2x^2−8x=0
USE GCF
What are x=0 and x=4
How many solutions does a parabola have if it just touches the x-axis once?
What is one real solution?
The area of a rectangle is represented by the equation x^2-14x-32... If the width is (x+2)... what is the length?
What is (x-16)