Exponent Rules
x2*x5
x7
Add the Polynomials
(4x + 9) +(x - 4)
5x + 5
Multiply the Polynomials:
3x2 (2x4)
6x6
What is the coefficient of 3x2?
3
Is x+3 a factor of x2+5x+1
NO
Simplify : (2x2)3
8x6
Add the polynomials:
(-3a - 2) + (7a + 5)
4a + 3
Multiply the Polynomials:
(x - 3)(x + 2)
x2 - x - 6
What is the degree of the polynomial?
4x3-3x2+2x-100
3
Is x-5 a factor of x3-125? If yes, name the remaining solutions (real and imaginary)
Yes 5, -5 plus and minus 5 i root 3 over 2
Rewrite with positive exponents:
-3x^-3
-3/x^3
Subtract the polynomials:
(-x2 - 5) - (-3x2 -x -8)
2x2 + x +3
Multiply the Polynomials:
(2m - 1)(m + 2)
2m2 + 3m - 2
How many terms does the polynomial have?
4x3-3x2+2x-100
Is x-1 a factor of 5x4+2x2-7x? Name all real and imaginary solutions
yes, 0,1, -5 + i root 115 over 10, -5-i root 115 over 10
Rewrite with positive exponents:
(1/2 x^3)^-4
16/x^12
Add the polynomials:
(t2 + 3t3 -3) + (2t2 +7t -2t3)
t3 +3t2 +7t -3
Multiply the Polynomials:
(4n - 1)(3n + 4)
12n2 + 13n - 4
Classify the polynomial by the degree & number of terms:
7x-5x2-3x5
degree 5 trinomial
Name all the solutions of 2x3-11x2+13x
0, 11 plus and minus root 17 over 4
Simplify
(-4x)^3(x^7y^4)^5(2xy)^-2
-16x^36y^18
Subtract the Polynomials:
(2x - 3x) - (x2 -2x + 4)
-x2 + x - 4
Multiply the Polynomials:
(2x - 3)(x2 + 3x + 2)
2x3 + 3x2 - 5x - 6
After fully simplifying, classify the polynomial by its degree and number of terms:
(3x)2+3x-7x2+18x-2x2
Degree 1 (linear) monomial
(2p2+7p-39) / (2p-7)
p+7 + 10/(2p-7)