Download Leading Coefficient/Degree/Constant/Standard Form

Algebra I
Module 1
Test #1 Review
Name
Period
Date
Topics you need to know…
 Leading Coefficient/Degree/Constant/Standard Form
 Adding & Subtracting Polynomials
 Multiplying Polynomials
Leading Coefficient/Degree/Constant/Standard Form
Write each polynomial in standard form, then identify the leading coefficient, degree, and
the constant term.
1.) 4x – 3x2 + 7
2.) 11 – 4x3 + 2x2 + x
Leading coefficient:
Degree:
Constant term:
3.)
Leading coefficient:
Degree:
Constant term:
4x2 – 18 + 6x4 – 3x5 + 7x3 – 19x
Leading Coefficient:
Degree:
Constant term:
Adding & Subtracting Polynomials:Simplify and express in standard form
1.)
(4x2 + x + 7) + (2x2 + 3x + 1)
2.)
(4x2 – 7x + 8) + (2x2 + 4x – 7)
3.)
(6x2 – 3x – 17) – (5x2 – 3x + 13)
4.)
(-2x2 + 3x + 16) – (-7x2 – x + 12)
5.)
If A = 3x2 + 5x – 6 and B = -2x2 – 6x + 7, express A – B in standard form
6.)
Subtract 5x2 + 2x – 11 from 3x2 + 8x – 7. Express the result as a trinomial.
Multiplying Polynomials: Multiply the following terms by either distributive
property or by using the “box-method”. Express your answer in standard form.
1.) (x + 9)(x – 4)
2.)
(5x + 2)(x – 4)
3.)
(3x – 2)(2x – 7)
4.)
(x2 – 4x + 1)(x + 3)
5.)
(n + 8)(n2 – 2n + 2)
6.)
(m + 4)(m2 – 3m + 7)
7.)
If the difference (4x2 – 3x + 5) – (2x2 + 9x – 11) is multiplied by 4x2, what is the
result, written in standard form?
8.)
If the difference (3x2 – 2x + 5) – (x2 +3x – 2) is multiplied by ½ x2, what is the
result, written in standard form?