3x + 6x2 – x2 + 2x 5x2y + 3xy – 8x2y + 6xy (2x2)(-4x3) 2(x + 4)

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Presentation transcript:

3x + 6x2 – 10 + 9x2 + 2x 5x2y + 3xy – 8x2y + 6xy (2x2)(-4x3) 2(x + 4) 9-18-13 Warm-Up 3x + 6x2 – 10 + 9x2 + 2x 5x2y + 3xy – 8x2y + 6xy (2x2)(-4x3) 2(x + 4) 7(12 + 3x) – 10 15x2 + 5x - 10 -3x2y + 9xy 3x2 -8x5 2x + 8 21x + 74

What methods can we use to multiply polynomials? Algebra 1 Today’s Question: What methods can we use to multiply polynomials? Standard: MCC9-12.A.APR.1

Classifying Polynomials Objective: To classify polynomials by degree and by number of terms Example of a Polynomial Degrees Constant Coefficients

Vocabulary Degree: is the exponent for each variable. Degree of the polynomial: is the largest exponent of the polynomial. Leading coefficient: is the coefficient of the first term. Descending order/Standard form is how polynomials are written where the terms are placed in descending order from largest degree to smallest.

Example: Write the polynomials in Standard form/descending order Example: Write the polynomials in Standard form/descending order. Then identify the leading coefficient and degree of the polynomial. 1. Degree is 7 Leading coefficient is 3 2. Degree is 4 leading coefficient is –2

Classifying Polynomials By Degree Degree Example Constant 6 -3 Linear 1 3x + 4 -7x + 2 Quadratic 2 Cubic 3 Quartic 4

Classifying polynomials By # of terms # of terms Example Monomial 1 3x Binomial 2 3x + 1 Trinomial 3 Note: Any polynomials with four or more terms are just called polynomials

Multiplying Polynomials Monomial x Polynomial

(5)(x + 6)

(x2)(x + 6)

(-2x)(x2 – 4x + 2)

Multiplying Polynomials Binomial x Binomial or Trinomial

Genetics Punnett Squares are diagrams used by scientists to help them to figure out how inherited traits (characteristics) will be distributed. F f Ff ff We will use something like a Punnett Square today to help us learn how to multiply polynomials!!

Multiplying Polynomials Using the distributive property

Notes - Multiplying Polynomials F - First O - Outside I – Inside L - Last (z + 5) (z + 3)

(x - 2) (x + 4)

(x + 9) (x – 3)

(x + 3) (x – 3)

(2x + 5)(x + 6)

(3x – 1)(2x – 4)

(5b – 6)(3b2 – 2b + 5)

Find the area of the rectangle.

Find the area of the rectangle.

Find the volume.

Why is a stick of gum like a sneeze? Practice Why is a stick of gum like a sneeze?

Homework Practice Worksheet