Polynomials Quiz Retake
Polynomials are named based on two criteria
1.  the highest exponent
2. the number of terms
Polynomials are named based on two criteria
So when given a polynomial...
1.  the highest exponent
2. the number of terms
x3-4x2+3x-1
Polynomials are named based on two criteria
So when given a polynomial
The highest exponent is three
1.  the highest exponent
2. the number of terms
x3-4x2+3x-1
highest exponent
Polynomials are named based on two criteria
So when given a polynomial
The highest exponent is three
1.  the highest exponent
2. the number of terms
and the number of terms is four
x3-4x2+3x-1
1

2

3
4

four terms

Here's two charts that will aid us in naming

0

1
2
3
4
5
Exponent
constant
linear
quartic
quintic
quadratic
cubic
2

4

1
3
Terms
monomial
Polynomial of 4 terms
binomial
trinomial

0

1
2
3
4
5
Exponent
constant
linear
quartic
quintic
quadratic
cubic

Name the polynomial

x2-5
2

4

1
3
Terms
monomial
Polynomial of 4 terms
binomial
trinomial

Quadratic Binomial

Quadratic Monomial

Linear Binomial

Linear Monomial

0

1
2
3
4
5
Exponent
constant
linear
quartic
quintic
quadratic
cubic
x3-5x+1

Match the polynomial with the name

5
x5
2

4

1
3
Terms
monomial
Polynomial of 4 terms
binomial
trinomial
Cubic Trinomial
?
Constant Monomial
?
Quintic Monomial
?

0

1
2
3
4
5
Exponent
constant
linear
quartic
quintic
quadratic
cubic
x-5

Match the polynomial with the name

2x4-x3

x1
2

4

1
3
Terms
monomial
Polynomial of 4 terms
binomial
trinomial

Linear Binomial

?

Quartic Binomial

?

Linear Monomial

?
Standard form of a polynomial is ordering all terms
from the highest degree (power) to the lowest degree.
Standard form of a polynomial is ordering all terms
from the highest degree (power) to the lowest degree.
Which polynomial is in standard form?
    x3 + 5x - 3x2
    x3 - 3x2 + 5x
 - 3x+x+ 5x
Standard form of a polynomial is ordering all terms
from the highest degree (power) to the lowest degree.
Which polynomial is in standard form?
    x3 + 5x - 34
    x3 - 34 + 5x
 - 34 +x+ 5x
Standard form of a polynomial is ordering all terms
from the highest degree (power) to the lowest degree.
Which polynomial is in standard form?
    x13 + 5x - 34 + 2x
    x13 - 3x7 + 5x6 - 8
    x1+ 5x8  + 7x2 - x6
x7 + 5x4  + 7x   - x2 + 8
   Fill in the missing exponent so that 
the polynomial will be in standard form.
x5 + 9x3  + 7x   - 6x + 8
   Fill in the missing exponent so that 
the polynomial will be in standard form.
-3x4
?
Shimmy these terms so that the 
polynomial is in standard form
+x3
?
+4x2
?
-x
?
-7
?
-x8
?
Shimmy these terms so that the 
polynomial is in standard form
+2x6
?
-x3
?
-x2
?
+x
?
(+)
3x2 + 6x + 2
When Combining Polynomials, ONLY the coefficient (number in front) changes !!!
4x2 + 3x + 5
  x2 +   x + 
(+)
4x2 + 4x  – 2
When Combining Polynomials, ONLY the coefficient (number in front) changes !!!
5x2 - 2x  + 9
  x2 +   x + 
(+)
4x2 - 5x   +4
5x2 - 3x   - 9
  x2       x  
The terms in the POLYNOMIAL SUM
must be connected by + or – signs.
(-4x3 + 2x - 8) + (8x3 - 8x2 + x + 5)
Write the simplified expression in standard form.
operation symbols
(-4x3 + 2x - 8) - (8x3 - 8x2 + x + 5)
Write the simplified expression in standard form.
operation symbols
(3x2 + x + 4) - (8x - x2 + x - 7)
Write the simplified expression in standard form.
operation symbols
C
A
B
D
A
B
C
D
A
C
D
B
The length of a rectangle is represented byx2 + 3x + 2 and the width is represented by 4x.
What is the perimeter of the rectangle?
4x3 + 12x2 + 8x
x2 + 7x +2
x4 + 6x3 + 13x2 + 12x + 4
2x2 + 14x + 4
The length of a rectangle is represented byx2 + 3x + 2 and the width is represented by 4x.
What is the area of the rectangle?
x2 + 7x +2
x4 + 6x3 + 13x2 + 12x + 4
4x3 + 12x2 + 8x
2x2 + 14x + 4
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