POLYNOMIALS – Product of Polynomials

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Presentation transcript:

POLYNOMIALS – Product of Polynomials Binomial times a binomial METHOD 1 : F.O.I.L. FOIL is an acronym for First, Outside, Inside, Last when multiplying.

POLYNOMIALS – Product of Polynomials Binomial times a binomial METHOD 1 : F.O.I.L. FOIL is an acronym for First, Outside, Inside, Last when multiplying. EXAMPLE : Multiply

POLYNOMIALS – Product of Polynomials Binomial times a binomial METHOD 1 : F.O.I.L. FOIL is an acronym for First, Outside, Inside, Last when multiplying. EXAMPLE : Multiply First – the first terms in each binomial

POLYNOMIALS – Product of Polynomials Binomial times a binomial METHOD 1 : F.O.I.L. FOIL is an acronym for First, Outside, Inside, Last when multiplying. EXAMPLE : Multiply First – the first terms in each binomial Outside – the outside terms of each binomial

POLYNOMIALS – Product of Polynomials Binomial times a binomial METHOD 1 : F.O.I.L. FOIL is an acronym for First, Outside, Inside, Last when multiplying. EXAMPLE : Multiply First – the first terms in each binomial Outside – the outside terms of each binomial Inside – the inside terms of each binomial

POLYNOMIALS – Product of Polynomials Binomial times a binomial METHOD 1 : F.O.I.L. FOIL is an acronym for First, Outside, Inside, Last when multiplying. EXAMPLE : Multiply First – the first terms in each binomial Outside – the outside terms of each binomial Inside – the inside terms of each binomial Last – the last terms in each binomial

POLYNOMIALS – Product of Polynomials Binomial times a binomial METHOD 1 : F.O.I.L. FOIL is an acronym for First, Outside, Inside, Last when multiplying. EXAMPLE : Multiply Combine your like terms for the final answer

POLYNOMIALS – Product of Polynomials Binomial times a binomial METHOD 2 : The array An array is just a table used to organize the terms and then multiply. EXAMPLE : Multiply

POLYNOMIALS – Product of Polynomials Binomial times a binomial METHOD 2 : The array An array is just a table used to organize the terms and then multiply. EXAMPLE : Multiply

POLYNOMIALS – Product of Polynomials Binomial times a binomial METHOD 2 : The array An array is just a table used to organize the terms and then multiply. EXAMPLE : Multiply Multiplication symbol goes in upper left hand cell.

x + 7 POLYNOMIALS – Product of Polynomials Binomial times a binomial METHOD 2 : The array An array is just a table used to organize the terms and then multiply. EXAMPLE : Multiply Multiplication symbol goes in upper left hand cell. x + 7 One binomial fills in the remaining upper cells.

x + 7 - 5 POLYNOMIALS – Product of Polynomials Binomial times a binomial METHOD 2 : The array An array is just a table used to organize the terms and then multiply. EXAMPLE : Multiply Multiplication symbol goes in upper left hand cell. x + 7 - 5 One binomial fills in the remaining upper cells. The other binomial fills in the remaining left side cells.

x + 7 - 5 POLYNOMIALS – Product of Polynomials Binomial times a binomial METHOD 2 : The array An array is just a table used to organize the terms and then multiply. EXAMPLE : Multiply x + 7 - 5 We will fill in the remaining cells using multiplication .

x + 7 - 5 POLYNOMIALS – Product of Polynomials Binomial times a binomial METHOD 2 : The array An array is just a table used to organize the terms and then multiply. EXAMPLE : Multiply x + 7 - 5 We will fill in the remaining cells using multiplication .

x + 7 - 5 POLYNOMIALS – Product of Polynomials Binomial times a binomial METHOD 2 : The array An array is just a table used to organize the terms and then multiply. EXAMPLE : Multiply x + 7 - 5 We will fill in the remaining cells using multiplication .

x + 7 - 5 POLYNOMIALS – Product of Polynomials Binomial times a binomial METHOD 2 : The array An array is just a table used to organize the terms and then multiply. EXAMPLE : Multiply x + 7 - 5 We will fill in the remaining cells using multiplication .

x + 7 - 5 POLYNOMIALS – Product of Polynomials Binomial times a binomial METHOD 2 : The array An array is just a table used to organize the terms and then multiply. EXAMPLE : Multiply x + 7 - 5 We will fill in the remaining cells using multiplication .

x + 7 - 5 POLYNOMIALS – Product of Polynomials Binomial times a binomial METHOD 2 : The array An array is just a table used to organize the terms and then multiply. EXAMPLE : Multiply x + 7 - 5 Now use the cells we just filled in to create the answer. Combine any like terms .

POLYNOMIALS – Product of Polynomials Binomial times a binomial EXAMPLE # 2 : Multiply

POLYNOMIALS – Product of Polynomials Binomial times a binomial EXAMPLE # 2 : Multiply FOILt… FIRST – OUTSIDE – INSIDE – LAST –

POLYNOMIALS – Product of Polynomials Binomial times a binomial EXAMPLE # 2 : Multiply FOILt… FIRST – OUTSIDE – INSIDE – LAST –

POLYNOMIALS – Product of Polynomials Binomial times a binomial EXAMPLE # 2 : Multiply FOILt… FIRST – OUTSIDE – INSIDE – LAST –

POLYNOMIALS – Product of Polynomials Binomial times a binomial EXAMPLE # 2 : Multiply FOILt… FIRST – OUTSIDE – INSIDE – LAST –

POLYNOMIALS – Product of Polynomials Binomial times a binomial EXAMPLE # 2 : Multiply FOILt… FIRST – OUTSIDE – INSIDE – LAST – Combine any like terms and find your answer…

POLYNOMIALS – Product of Polynomials Binomial times a binomial EXAMPLE # 3 : Multiply ARRAY

3a - 2b 4a + 5b POLYNOMIALS – Product of Polynomials Binomial times a binomial EXAMPLE # 3 : Multiply ARRAY 3a - 2b 4a + 5b

3a - 2b 4a 12a2 + 5b POLYNOMIALS – Product of Polynomials Binomial times a binomial EXAMPLE # 3 : Multiply ARRAY 3a - 2b 4a 12a2 + 5b

3a - 2b 4a 12a2 - 8ab + 5b POLYNOMIALS – Product of Polynomials Binomial times a binomial EXAMPLE # 3 : Multiply ARRAY 3a - 2b 4a 12a2 - 8ab + 5b

3a - 2b 4a 12a2 - 8ab + 5b 15ab POLYNOMIALS – Product of Polynomials Binomial times a binomial EXAMPLE # 3 : Multiply ARRAY 3a - 2b 4a 12a2 - 8ab + 5b 15ab

POLYNOMIALS – Product of Polynomials Binomial times a binomial EXAMPLE # 3 : Multiply ARRAY 3a - 2b 4a 12a2 - 8ab + 5b 15ab - 10b2

POLYNOMIALS – Product of Polynomials Binomial times a binomial EXAMPLE # 3 : Multiply ARRAY 3a - 2b 4a 12a2 - 8ab + 5b 15ab - 10b2 Use filled in cells to get answer. Combine any like terms.