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Adding and Subtracting Polynomials
Terms: 3x2 & −5 are two different terms. 3x2 − 5 is not
a term (it is two
Polynomials: 3x2 − 4x − 2 & 4xy2 + 3x2 − 3y + x − 2 are
Not Polynomials: & 3x-2 + 4x2 − 2 are not polynomials.
The degree of a term is the sum of the exponents on the variables.
The degree of a polynomial is determined by the term with the largest
EXAMPLE: Determine the degree of the following polynomials:
EXAMPLE: Write the polynomial in standard form:
How do we combine unlike terms ? _________________
What is the opposite of −x3 + x2 − 3x + 5? ___________________
EXAMPLE: Perform the following operations
f.) Find the difference when 32x2 −17x + 45 is subtracted from the sum of
g.) (0.02x2 + x −.004) − (.01x2 + .0001x −.02)