Adding Polynomials
Add the following polynomials
x4+4x4
5x4
Is the following function a polynomial?
f(x) = x2+2x-5
yes
What is a number or variable in a polynomial that is separated by an addition or subtraction sign
Term
The degree of this polynomial:
x3-7x2+4x5-19x7
7th Degree
-3x4-2x2+7
7 represents the leading coefficient, highest degree, or the constant?
What is the constant
Add the following polynomials
(x2-3)+(3x2+7)
4x2+4
Is the following function a polynomial?
f(x)=x-5+x-1
no
The leading coefficent of a polynomial is the...
Number before the variable containing the highest exponent
Classify this polynomial using the degree and number of terms
2x3+3x-7
3rd degree trinomial
-3x4-2x2+7
-3 represents the leading coefficient, highest degree, or constant
Leading Coefficient
Add the following polynomials
(3x3+x2+9)+(x3-3x2+1)
4x3-2x2+10
Is the following function a polynomial?
f(x) = sqrt(x) + 7x - 5
no
Terms that have the same variables and the same exponent(s) are....
Like Terms
How many turning points does the graph of this polynomial have?
f(x)= -3x4+2x2+7
3 turning points
-3x4-2x2+7
4 represents the highest degree, leading coefficient, or constant
What is the highest degree
Add the following polynomials
(-9k3-3k2+h4)+(k3-7k2+4h4)
-8k3-10k2+5h4
Is the function a polynomial?
f(x) = -14n4+7n2+8n+7
yes
The highest exponent of a polynomial
Degree of the polynomial
True or False
Polynomials can have constants, variables and exponents
True
6x3-4x+10
3 represents the highest degree, leading coefficient, or the constant
What is the highest degree
Add the following polynomials
(2k3-7k)+(-5k3-k2-3k)
-3k3-k2-10k
Explain why this function is or is not a polynomial:
f(x) = 3x5+27-x4
Exponents are all nonnegative integers
A polynomial with 3 terms is called a...
Trinomial
f(x)=x5+3x3+1
5
6x3-4x+10
10 represents the highest degree, leading coefficient, or constant
What is the constant