Presentation is loading. Please wait.

Presentation is loading. Please wait.

6.8 Solving Equations by Factoring Goal: To solve equations expressed as a product of factors equal to zero and to factor and solve equations.

Similar presentations


Presentation on theme: "6.8 Solving Equations by Factoring Goal: To solve equations expressed as a product of factors equal to zero and to factor and solve equations."— Presentation transcript:

1 6.8 Solving Equations by Factoring Goal: To solve equations expressed as a product of factors equal to zero and to factor and solve equations.

2 True or false? What value of x makes this equation true?

3 The Principle of Zero Products  if (a)(b) = 0, then a = 0 or b = 0.  if a = 0 or b = 0, then (a)(b) = 0.

4 the quest for “X”

5 What values of “x” make this equation true? (x + 1)(x – 7) = 0

6 What values of “x” make this equation true? x(2x – 9) = 0

7 What values of “x” make this equation true? ( x + 3)(x – 4) = 0

8 What values of “x” make this equation true? ( x - 7)(x – 3) = 0

9 What values of “y” make this equation true? y(3y – 17) = 0

10 If the equation is already factored then set its factors = 0 and solve for x If the equation is not already factored then you need to set it =0, factor it, set each of its factors =0, and solve for x

11 Solve for “y”: y 2 + 5y = -6 Add 6 to get “0” on one side FactorLet each factor = zero

12 Solve for “y”: y 2 – 8y = -16 Add 16 to get “0” on one side Factor

13 x 2 – x – 6 = 0 x = 3 or (-2)

14 m 2 – m = 56 m = 8 or (-7)

15 k 2 – 3k = 28 m = 7 or (-4)

16 “root” For a polynomial containing a variable, any value of the variable that makes the value of the polynomial = zero is called a “root” of the polynomial. Find the roots of x 2 – 5x = 0

17 Find the roots of 25x 2 – 16

18 Assignment Page 289 (6-20, 28-46, 56-60) even


Download ppt "6.8 Solving Equations by Factoring Goal: To solve equations expressed as a product of factors equal to zero and to factor and solve equations."

Similar presentations


Ads by Google