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Math 9 Honours Section 4.1 Multiplying & Dividing Polynomials

Math 9 Honours Section 4.1 Multiplying & Dividing Polynomials. I) Review. When multiplying two variables with the same base, you “ add ” the exponents. When dividing two variables with the same base, you “ subtract ” the exponents.

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Math 9 Honours Section 4.1 Multiplying & Dividing Polynomials

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  1. Math 9 HonoursSection 4.1 Multiplying & Dividing Polynomials

  2. I) Review • When multiplying two variables with the same base, you “add” the exponents • When dividing two variables with the same base, you “subtract” the exponents

  3. When multiplying a polynomial with a monomial, distribute each term inside the brackets with the monomial. • One polynomial is the length and the other is the width • The product is the area of the rectangle formed by the two sides

  4. Practice: Simplify the following Expand bydistributing Expand bydistributing Expand by distributing Combine Liketerms

  5. When dividing polynomials, divide each term in the quotient by the monomial in the divisor • The polynomial in the numerator is the area • The divisor is the length of the rectangle • The quotient is the width of the rectangle

  6. Practice simplify Divide eachterm by the denominator Divide eachterm by the denominator Divide each term by the denominator Simplify by combining liketerms

  7. II) Multiplying two Binomials • When multiplying two binomials, use each binomial to form the sides of a rectangle • Expand to find the area Another method for multiplying two binomials is by using FOIL First Outside Inside Last

  8. Practice: Expand the binomials

  9. II) Expanding Binomials with Trinomials • Make each term the sides of a polynomial • Expand and combine Like-Terms Ex: Expand and Simplify: Width: 2x + 3Length: 4x2 – 7x + 12 Combine Like-Terms

  10. Practice: Expand each of the following

  11. Ex: Find the Area of the shaded Region Split the area into 2 separate Rectangles Find the Dimensions of each Rectangle Find the Area of each Rectangle and add them together

  12. Practice: Find the Area of the shaded Region Split the area into 2 separate Rectangles Find the Dimensions of each Rectangle Find the Area of each Rectangle and add them together

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