Exponents
Simplify.
(x2)3
x6
Multiply:
3x(5x+8)
15x2+24x
List the x-intercepts for y=x2-4x-32
x= {8,-4}
(8,0) and (-4,0)
What does a negative exponent do?
Moves the variable or number to the opposite part of the fraction.
What is the degree of this polynomial?
15x-3x4+2x2
4
Simplify (5x2)3
125x6
Simplify:
2x2(4x-x2+3)
-2x4+8x3+6x2
Solve.
4x2=64
x={4,-4}
The shape of a quadratic function is______.
U-shaped (Parabola)
Factor.
6n2+6n-36
6(n+3)(n-2)
Simplify.
(4x0y3)2
16y6
Simplify:
(3x2-6)+(5x2+9)
8x2+3
Complete the square by filling in the blanks:
x2+12x+_____=15 + ______
36 and 36
5x3-3x2+1
List how many terms this polynomial has.
List the leading coefficient.
List the constant(s).
List the degree.
3 terms
Leading coefficient: 5
Constant: 1
Degree: 3
What are the solutions of (8x+1)(x-2)=0?
x={-1/8, 2}
Simplify (3x5)(x6)
3x11
Simplify:
(x2+5x-4)-(3x2-2x+5)
-2x2+7x-9
Solve using the quadratic formula.
x2-3x-2=0
x=3 +- square root(17) / 2
Explain the difference between the parent functions of a linear equation and a quadratic equation.
Linear functions create straight lines and the equation used is y=mx +b. There are no exponents in the equation.
Quadratic functions create a parabola and have an exponent of 2 in the equation. (y=ax2+bx+c)
Simplify 5x0
5
Simplify.
(2b-4)2
4/b8
Simplify and write in standard form:
3x2(2x+4)+8x3-4x+5x3
19x3+12x2-4x
Answer all parts to this question correctly.
y=-2(x+3)2+4
-Vertex:_____(min/max)
-Axis of symmetry:______
-Leading coefficient:______
-Opens:______
vertex:(-3,4)
axis of symmetry: -3
leading coefficient:-2
Opens downward, therefore vertex is the max.
Solve. Explain what you should do first in order to solve.
5x+6=-2x+27
3
You need to combine like terms first.
Simplify:
14xy2 divided by 4x2y
7y/2x