Naming Polynomials
Name the polynomial based on the DEGREE and NUMBER OF TERMS:
5
Constant Monomial
(no exponent, one term)
Simplify the expression and write in standard form:
2x + 3 - 5 + 7x - x2
-x2 + 9x - 2
Simplify using distributive property:
2(4x + 1)
8x + 2
Multiply the following binomials using FOIL method or Box method:
(x + 1)(x + 3)
x2 + 4x + 3
7n2 + 4n
________
n
7n + 4
Name the polynomial based on the DEGREE and NUMBER OF TERMS:
3x2 - 4
Quadratic Binomial
(highest exponent of 2, two terms)
Simplify the expression and write in standard form:
x2 + 2x2 - 1
3x2 - 1
Simplify using distributive property:
3(5x - 2)
15x - 6
Multiply the following binomials using FOIL method or Box method:
(x + 1)(x - 3)
x2 - 2x - 3
10x2 + 5x - 15
____________
5
2x2 + x - 3
Name the polynomial based on the DEGREE and NUMBER OF TERMS:
-2x3 + 5x2 - 3
Cubic Trinomial
(highest exponent of 3, three terms)
Simplify the expression and write in standard form:
3x3 - 5x4 - x3 + 7
-5x4 + 2x3 + 7
Simplify using distributive property:
2x(3x - 8)
6x2 - 16x
Multiply the following binomials using FOIL method or Box method:
(2x + 1)(x - 4)
2x2 - 7x - 4
-20x2 - 5x
_________
5x
-4x - 1
Name the polynomial based on the DEGREE and NUMBER OF TERMS:
x + 1
Linear Binomial
(highest exponent of 1, two terms)
Simplify the expression and write in standard form:
(x2 + 2x + 1) + (5x2 + 3x + 3)
6x2 + 5x + 4
Simplify using distributive property:
x(3x - 1)
3x2 - x
Multiply the following binomials using FOIL method or Box method:
(3x - 4)(2x - 5)
6x2 - 23x + 20
12c5d4 + 18c4d3
_____________
3c2d3
4c3d + 6c2
Name the polynomial based on the DEGREE and NUMBER OF TERMS:
x2 - 7x + 12
Quadratic Trinomial
(highest exponent of 2, three terms)
Simplify the expression and write in standard form:
(x2 + 2x + 1) - (5x2 + 3x + 3)
-4x2 - x - 2
Simplify using distributive property:
10x(x - 3)
10x2 - 30x
Multiply the following binomials using FOIL method or Box method:
(x + 10)(x - 10)
x2 - 100
28x5y4z3 - 8x4y3z2
_______________
4x2y2z2
7x3y2z - 2x2y