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6.3 Dividing Polynomial

6 x – 15 y. 7 a 2 – ab. a. 3. Objective. Use long division and synthetic division to divide polynomials . Use synthetic division to evaluate a polynomial. Why Learn This?. Electricians can divide polynomials in order to find the voltage in an electrical system. 6.3 Dividing Polynomial.

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6.3 Dividing Polynomial

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  1. 6x– 15y 7a2 – ab a 3 Objective Use long division and synthetic division to divide polynomials. Use synthetic division to evaluate a polynomial Why Learn This? Electricians can divide polynomials in order to find the voltage in an electrical system 6.3 Dividing Polynomial Warm Up Divide. 1. 2.

  2. Example 1: Using Long Division to Divide a Polynomial (–y2 + 2y3+ 25) ÷ (y – 3) Step 1 Write the dividend in standard form, including terms with a coefficient of 0.

  3. Your Turn! Check It Out! Example 1a Divide using long division. (15x2 + 8x– 12) ÷ (3x + 1)

  4. Synthetic division is a shorthand method of dividing a polynomial by a linear binomial by using only the coefficients.

  5. Example 2: Using Synthetic Division to Divide by a Linear Binomial Divide using synthetic division. (3x4 – x3+ 5x – 1) ÷ (x + 2) Step 1 Find a. a = –2

  6. Example 3A: Using Synthetic Substitution Use synthetic substitution to evaluate the polynomial for the given value. P(x) = 2x3 + 5x2 – x + 7 for x = 2.

  7. Geometry Application: Example 4 Write an expression for the length of a rectangle with width y – 9 and area y2 – 14y + 45.

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