Adding Polynomials
Add the Polynomials
(4x + 9) +(x - 4)
5x + 5
Subtract the polynomials:
(g - 4) - (3g - 6)
-2g + 2
When multiplying the same base, we __________ the exponents
Add
Multiply the Polynomials:
3x2 (2x4)
6x6
The largest exponent of a polynomial is called the ...
Degree
Add the polynomials:
(-3a - 2) + (7a + 5)
4a + 3
Subtract the polynomials:
(-5h - 2) - (7h +6)
-12h - 8
Simplify:
x^4* x^7
x11
Multiply the Polynomials:
3(2x + 4x2 - 5)
12x2 + 6x - 15
The coefficient of the term with the largest exponent is called the...
Leading coefficient
Add the polynomials:
(x2 +3x + 5) + ( -x2 +6x)
9x + 5
Subtract the polynomials:
(-x2 - 5) - (-3x2 -x -8)
2x2 + x +3
When dividing the same bases, we ___________ the exponents.
Subtract
Multiply the Polynomials:
−y2 (−8x2 − 6xy − y2 )
8y2x2 + 6y3x + y4
When a polynomial is written with exponents in descending order...
Standard Form
Add the polynomials:
(t2 + 3t3 -3) + (2t2 +7t -2t3)
t3 +3t2 +7t -3
Subtract the Polynomials:
(k2 + 6k3 -4) - (5k3 + 7k -3k2)
k3 + 4k2 -7k -4
Simplify:
y^10/y^4
y6
Multiply the Polynomials:
(x-2)(x+6)
x2+4x-12
Write the following in standard form:
3x + 4x^4 -10x^2 -5
4x^4 - 10x^2 + 3x -5
Add the polynomials:
(-1 + x2 + 2x) + (1 -2x + 2x2)
3x2
Subtract the Polynomials:
(2x - 3x) - (x2 -2x + 4)
-x2 + x - 4
When a term is raised to another power, we _________ the exponents
Multiply
Multiply the Polynomials:
(3x-6)(5x+3)
15x2-21x-18
Identify the degree of the following polynomial
3x^2 - 10x^5 + 7x -8
5
(3x+2)+(4x-2)+(x^2-x)
(x^2+6x)
Subtract the following polynomials
(3 - 6x5 - 8x4) - (-6x4 - 3x - 8x5)
2x5 - 2x4 + 3x + 3
Anything to the power of zero is....
Multiply the following polynomials
(3r+ 5)2
9r2 + 30r + 25
Identify the leading coefficient and constant term:
3x^2 - 10x^5 + 7x -8
leading coefficient: -10
constant term: -8