Exponent Rules
Use the product rule for exponents to multiply:
4x^3*5x^2
20x^5
Determine the degree of the following polynomial:
-3x^2+5x-1
Degree: 2
Add the following polynomials. Write your final answer in standard form.
(4x^2+4)+(19x^2-7)
23x^2-3
Solve for a:
2a+1=7
a=3
2/3 - 4/5
-2/15
Use the quotient rule for exponents to divide:
(-16y^5)/(8y^3)
-2y^2
Is the following polynomial a monomial, binomial, or trinomial?
2xy-3x^2y
Binomial
Add the following polynomials. Write your final answer in standard form.
(13x^2y-2x+1)+(9x^2y-7)
22x^2y-2x-6
Solve for b:
b/-2-5=-7
b=4
(2/5)(3/4)
3/10
Use the power rule to simplify:
(b^8)^3
b^24
Classify the polynomial by its degree and the number of terms:
-4x^2+3x^4-x
Degree 4 Trinomial
Add the following polynomials. Write your final answer in standard form.
(-x^3+8x^2-5)+(1-x^2+10x^3)
9x^3+7x^2-4
Solve for c:
1/2c^2-1=7
c=4
21/5-:7/4
12/5
Use the quotient rule to simplify:
(2x^6y)/(8xy)
(1)/(4)x^5
What is the coefficient on x?
3x^2-x
-1
Subtract the following polynomials. Write your final answer in standard form.
(3x+2)-(11x-6)
-8x+8
Solve for d:
1/2d+5/6=7/6
x=2/3
1/12+5/4-:3/7
3
Use the exponent rules to simplify:
(4x^2y^3)(-2x^5y^20)^0
4x^2y^3
What is the constant?
-2xy^2+4xy-3y^2-17
-17
Subtract the following polynomials. Write your final answer in standard form.
(x^2-x+4)-(x^2+x-2)
-2x+6
Solve for x:
\sqrt(x-3)=5
x=+-5
4/5-(3/5)^2
11/25