mcc9 ‐ 12.a.sse.1 interpret expressions that represent a quantity in terms of its context. mcc9...

POLYNOMIALS

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Page 1: MCC9 ‐ 12.A.SSE.1 Interpret expressions that represent a quantity in terms of its context. MCC9 ‐ 12.A.SSE.1a Interpret parts of an expression, such

POLYNOMIALS

Standards

MCC9‐12.A.SSE.1 Interpret expressions that represent a quantity in terms of its context.

MCC9‐12.A.SSE.1a Interpret parts of an expression, such as terms, factors, and coefficients.

MCC9‐12.A.APR.1 Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.

MCC9‐12.A.APR.4 Prove polynomial identities and use them to describe numerical relationships.

Page 3: MCC9 ‐ 12.A.SSE.1 Interpret expressions that represent a quantity in terms of its context. MCC9 ‐ 12.A.SSE.1a Interpret parts of an expression, such

Vocabulary

polynomial

Page 4: MCC9 ‐ 12.A.SSE.1 Interpret expressions that represent a quantity in terms of its context. MCC9 ‐ 12.A.SSE.1a Interpret parts of an expression, such

Example:

Identify the terms in the expressions. What is the degree of the polynomial.

Terms: , and 7Degree: 2

Page 5: MCC9 ‐ 12.A.SSE.1 Interpret expressions that represent a quantity in terms of its context. MCC9 ‐ 12.A.SSE.1a Interpret parts of an expression, such

Example:

Identify the terms in the expressions. What is the degree of the polynomial.

Terms: , , , and 11 Degree: 8

Remember: the degree of a polynomial is always a whole number.

Page 6: MCC9 ‐ 12.A.SSE.1 Interpret expressions that represent a quantity in terms of its context. MCC9 ‐ 12.A.SSE.1a Interpret parts of an expression, such

Classifying Polynomials by degree

0 degree 1st degree 2nd degree 3rd degree 4th degree 5th degree 6th degree

or higher

3 2x + 1

constant linear quadratic cubic quartic quintic polynomia

l of the nth degree

Page 7: MCC9 ‐ 12.A.SSE.1 Interpret expressions that represent a quantity in terms of its context. MCC9 ‐ 12.A.SSE.1a Interpret parts of an expression, such

Classifying Polynomials by terms

1 term

2 terms

3 terms

monomial

binomial

trinomial

Page 8: MCC9 ‐ 12.A.SSE.1 Interpret expressions that represent a quantity in terms of its context. MCC9 ‐ 12.A.SSE.1a Interpret parts of an expression, such

Adding/Subtracting Polynomials

Combine like terms

Page 9: MCC9 ‐ 12.A.SSE.1 Interpret expressions that represent a quantity in terms of its context. MCC9 ‐ 12.A.SSE.1a Interpret parts of an expression, such

Find the error

Page 10: MCC9 ‐ 12.A.SSE.1 Interpret expressions that represent a quantity in terms of its context. MCC9 ‐ 12.A.SSE.1a Interpret parts of an expression, such

Adding/Subtracting Polynomials

Combine like terms

Page 11: MCC9 ‐ 12.A.SSE.1 Interpret expressions that represent a quantity in terms of its context. MCC9 ‐ 12.A.SSE.1a Interpret parts of an expression, such

Find the error

Page 12: MCC9 ‐ 12.A.SSE.1 Interpret expressions that represent a quantity in terms of its context. MCC9 ‐ 12.A.SSE.1a Interpret parts of an expression, such

Multiplying Polynomials

Page 13: MCC9 ‐ 12.A.SSE.1 Interpret expressions that represent a quantity in terms of its context. MCC9 ‐ 12.A.SSE.1a Interpret parts of an expression, such

Multiplying Polynomials

Page 14: MCC9 ‐ 12.A.SSE.1 Interpret expressions that represent a quantity in terms of its context. MCC9 ‐ 12.A.SSE.1a Interpret parts of an expression, such

Multiplying Polynomials

Page 15: MCC9 ‐ 12.A.SSE.1 Interpret expressions that represent a quantity in terms of its context. MCC9 ‐ 12.A.SSE.1a Interpret parts of an expression, such

Multiplying Polynomials

+12

Page 16: MCC9 ‐ 12.A.SSE.1 Interpret expressions that represent a quantity in terms of its context. MCC9 ‐ 12.A.SSE.1a Interpret parts of an expression, such

Multiplying Polynomials

Page 17: MCC9 ‐ 12.A.SSE.1 Interpret expressions that represent a quantity in terms of its context. MCC9 ‐ 12.A.SSE.1a Interpret parts of an expression, such

Multiplying Polynomials

Page 18: MCC9 ‐ 12.A.SSE.1 Interpret expressions that represent a quantity in terms of its context. MCC9 ‐ 12.A.SSE.1a Interpret parts of an expression, such

Multiplying Polynomials

+10 𝑥5−80 𝑥4+10 𝑥3

Page 19: MCC9 ‐ 12.A.SSE.1 Interpret expressions that represent a quantity in terms of its context. MCC9 ‐ 12.A.SSE.1a Interpret parts of an expression, such

Multiplying Polynomials

Combine like terms

+10 𝑥5−80 𝑥4+10 𝑥3−4 𝑥4+32 𝑥3−4 𝑥2

Page 20: MCC9 ‐ 12.A.SSE.1 Interpret expressions that represent a quantity in terms of its context. MCC9 ‐ 12.A.SSE.1a Interpret parts of an expression, such

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