Add and subtract polynomial expressions using properties of operations.
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In Lessons 2 and 3, students briefly study polynomials in order to apply properties of operations and exponents to mathematical situations. They will study polynomials more in depth in Algebra 2.
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A polynomial is given below.
$${10-4x+x^5+3x^2-x-6x^2}$$
a. Write the polynomial using the fewest number of terms possible. Write the polynomial in standard form.
b. Identify the degree and leading coefficient of the polynomial.
Find each sum or difference. Write your answers in standard form.
a. $${(4x^2+x+7)+(2x^2+3x+1)}$$
b. $${(3x^3-x^2+8)-(x^3+5x^2+4x-7)}$$
c. $${3(x^3+8x)-2(x^3+12)}$$
d. $${(3+1)+6(p-8)-(p+2)}$$
Algebra I > Module 1 > Topic B > Lesson 8 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
Modified by Fishtank Learning, Inc.?
The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
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Simplify the expression. Write your answer in standard form.
$${x^2-4(x-8x^2)+(5+10x)}$$
Write a polynomial addition problem that has a sum of $${m^8-m^6+m^4}$$.