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Do Now 3/2/10. Take out HW from last night. Greatest Common Factor worksheet #34 Copy HW in your planner. Text p. 578, #4-48 multiples of 4
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Do Now 3/2/10 • Take out HW from last night. • Greatest Common Factor worksheet #34 • Copy HW in your planner. • Text p. 578, #4-48 multiples of 4 • In your journal, define greatest common factorin your own words. Support your definition with two different examples. Include variables in one of your examples.
1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 11) 12) 13) 14) 15) 16) 17) 18) 19) 20) HomeworkGreatest Common Factor worksheet #34
Objective • SWBAT solve polynomial equations
Section 9.4 “Solve Polynomial Equations in Factored Form” Zero-Product Property If ab = 0, then a = 0 or b = 0. The zero-product property is used to solve an equation when one side of the equation is ZERO and the other side is the product of polynomial factors. (x – 4)(x + 2) = 0 The solutions of such an equation are called ROOTS. x + 2 = 0 x – 4 = 0 x = -2 x = 4
Solve the equations (x – 5)(x + 1) = 0 x + 1 = 0 x – 5 = 0 x = -1 x = 5 (2x – 3)(4x + 1) = 0 4x + 1 = 0 2x – 3 = 0 x = -1/4 x = 3/2
“Solving Equations By Factoring” 2x² + 8x = 0 When using the zero-product property, sometimes you may need to factor the polynomial, or write it as a product of other polynomials. Look for the greatest common factor (GCF) of the polynomial’s terms. GCF- the monomial that divides evenly into EACH term of the polynomial. Look for common terms GCF
Solve Equations By Factoring 2x² + 8x = 0 Factor left side of equation 2x(x + 4) = 0 Zero product property x + 4 = 0 2x = 0 x = -4 x = 0 The solutions of the equation are 0 and -4.
Solve Equations By Factoring 6x² - 15x = 0 Factor left side of equation 3x(2x - 5) = 0 Zero product property 2x - 5 = 0 3x = 0 x = 5/2 x = 0 The solutions of the equation are 0 and 5/2.
Solve Equations By Factoring 42p² = -14p Bring all variables to one side 42p² + 14p = 0 Factor left side of equation 14p(3p + 1) = 0 Zero product property 3p + 1 = 0 14p = 0 p = -1/3 p = 0 The solutions of the equation are 0 and -1/3.
Homework NJASK7 Prep Text p. 578, #4-48 multiples of 4