Polynomials

What is a Monomial?

• A Polynomial consisting of 3 terms.

• A Polynomial consisting of one term.

• 3xy³

• 3yz+5yz⁵

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CCSS.HSA.APR.A.1

What is a Polynomial?

• 3x(5x+8)

• Dividend of 5 or more terms.

• A type of shape

• Sum of one or more Monomials.

Tags

CCSS.HSA.APR.A.1

What is the standard form for a Polynomial?

• Degrees must drop from left to right. Like terms must be combined.

• Degrees drop from right to left. Like terms do not have to be combined.

• 3x⁸+ 4x⁵

• 3x²+3x³

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CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

How do you find the degree of a Polynomial?

• Start by finding the degree of each term in the Polynomial. The degree is all the the exponents added together in a single term. After finding the degree of each term determine which term in the polynomial has the highest degree and that is the degree of the polynomial.

• Find the degree of each term. Take the lowest degree out of the terms to determine the degree of the whole polynomial.

• 3x⁴

• You cannot find the degree of a polynomial.

What is a leading coefficient?

• The coefficient that is non-existent.

• The coefficient of the term with the lowest degree.

• The coefficient of the term with the highest degree.

How do you add polynomials?

• 1)subract

  2)multiply

  3)divide

• 1) Rewrite to remove parenthesis.

  2)Identify and group like terms.

  3)Combine like terms

• It is impossible to add polynamials.

Tags

CCSS.HSA.APR.A.1

How do you add polynomials vertically?

• Line up like terms vertically.

  Fill in the spaces where there are no like terms.

  Add like a normal addition problem

• 2+2

• Combine terms subtract.

• It is impossible to add polynomials.

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CCSS.HSA.APR.A.1

How do you subtract polynomials?

• Distribute -1 throughout. Then continue with the same procedure for adding.

• (3y-4y)

• Distribute 1 thoughout. Then do same procedure for substraction.

• None of the above.

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CCSS.HSA.APR.A.1

How to multiply a monomial by a polynomial?

• Remove all variables in the polynomial then multiply.

• Combining like terms

• A single term polynomial.

• Distribute the monomial throughout the polynomial.

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CCSS.HSA.APR.A.1

How do you multiply binomials?

• Distribute one binomial into the other.

  add

  then simplify by combining like terms.

• Distribute one binomial into the other.

  Multiply.

  Then simplify by combining any like terms.

• Distibute on binomial into the other

  Divide

  Then simplify by combining any like terms.

Tags

CCSS.HSA.APR.A.1