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• Polynomials of degree 1 are linear.
• Polynomials of degree 2 are quadratic. 5x + x8 − 7x11 − x5 + 3 Unit 1 – Day 1: Polynomial Review Page 2 of 2 Operations with Polynomials
Operations with polynomials include:
• Addition – “combine like terms” exercise: Simplify (5x2 + x − 7) + (6x2 − x − 2) • Subtraction – “add its opposite” exercise: Simplify (5x2 + x − 7) − (6x2 − x − 2) • Multiplication – “expand by multiplying every term from the first polynomial to every term in the
second polynomial” exercise: Simplify x x 1 1 1 x x2 x2 x x x 1 x x 1 1 1 1 x x (2x − 3)(x + 2) 1 1 1 • Multiplication – “there are some common binomial multiplications that can be simplified quickly”
o (a + b)(a − b) = a2 − b2 exercise: Simplify (3x + 5)(3x − 5) o (a + b)2 = a2 + 2ab + b2 exercise: Simplify (3x + 5)2 o (a − b)2 = a2 − 2ab + b2 exercise: Simplify (3x − 5)2 exercise: Simplify 2(4x2 − 3x + 5) − 3(6x2 − 2x − 1) exercise: Simplify (x2 + 2x − 3)(4x2 − x − 2) exercise: Simplify 5(x − 3)2 [answer: −10x + 13]
2 [answer: 4x + 7x − 16x − x...
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This document was uploaded on 02/16/2014 for the course MATH PreCalcul at Holy Cross Regional High School.
 Fall '11
 Aytona
 Calculus, PreCalculus, Polynomials

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