Integer Exponents
Rational Exponents
Polynomials
Adding & Subtracting Polynomials
Multiplying Polynomials
Special Products of Binomials
100
Simplify.
34
81
100
Simplify
64^(1/2)
8
100
Classify the polynomial
3x^3+5
according to its degree and number of terms.
cubic binomial
100
Add
(x^2 + 7) + (4x^2 − 3)
5x^2 + 4
100
Multiply
2x^2(3x^2-2x+4)
6x^4-4x^3+8x^2
100
Simplify.
(x+2)^2
x^2+4x+4
200
Simplify.
(1/81)^(-1/4)
3
200
Simplify
16^(3/2)
64
200
Classify the polynomial
4x^2
according to its degree and number of terms.
Quadratic Monomial
200
Add
(5x^2 − 2x + 9) + (2x^2 − 4)
7x^2 − 2x + 5
200
Multiply (x + 2)(x + 3)
x^2 + 5x + 6
200
Multiply
(2x + 7)^2
4x^2 + 28x + 49
300
Simplify.
2a0
2
300
x^3
300
What is the leading coefficient of the polynomial
7x^2 − x^5 − 9x + 4
?
-1
300
Subtract
(10a^2 − 6a) − (7a^2 − 8a)
3a^2 + 2a
300
Multiply (4x − 5)(7x + 4)
28x^2 − 19x − 20
300
Multiply
(b+3)^3
b^3 +9b^2 + 27b +27
400
Evaluate 3x-5y0 for x = −2 and y = 4.
-3/32
400
(xy^4)/x
400
Classify the polynomial
x^5 + 3x^2 + x − 2
according to its degree and number of terms.
quintic polynomial
400
Subtract
(7a^4 − a^3 + 2) − (9a^3 − a^2 − 6)
7a^4 − 10a^3 + a^2 + 8
400
Multiply
(b + 3)(b^2 − 5b − 7)
b^3 − 2b^2 − 22b − 21
400
Multiply.
(x + 1)(x − 1)
x^2-1
500
Jamal throws a golf ball straight up from a height of 5 feet and at a speed of 75 feet per second. The height of the ball in feet is given by the polynomial
−16t^2 + 75t + 5
, where t is the time in seconds. How high is the ball after 4 seconds?
49 ft
500
Convert to exponential form and simplify.
sqrtx^2y^6
xy^3
500
Simplify the polynomial. Then classify it based on the number of terms & degree:
-x^2-8-4x+6x+8+x^2
2x
Linear (1st degree) Monomial
500
Express the perimeter as a polynomial.
8x^2-10x-2
500
A rectangle has width w and its length is 2 units shorter than 3 times the width, or 3w − 2. Solve for the area of the rectangle.
3w^2 − 2w
500
Which product results in
x^2 − 100
?
J (DOTS)