Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Objectives The student will be able to: Factor using the greatest common factor (GCF). Review: What is the GCF of 25a2 and 15a? 5a Let’s go one step further… 1) FACTOR 25a2 + 15a. Find the GCF and divide each term 25a2 + 15a = 5a( ___ 5a + ___ 3 ) 25a 2 5a 15a 5a Check your answer by distributing. 2) Factor 2 18x - 3 12x . Find the GCF 6x2 Divide each term by the GCF 18x2 - 12x3 = 6x2( ___ 3 - ___ 2x ) 18 x 2 6x2 12 x 3 6 x2 Check your answer by distributing. You Try It: Factor 20x2 - 24xy 1. 2. 3. 4. x(20 – 24y) 2x(10x – 12y) 4(5x2 – 6xy) 4x(5x – 6y) The GCF of 20 and 24 is 4. The GCF of x2 and xy is x. So we can take 4x out of the expression. Divide each term by the GCF. 20x2 – 24xy = 4x(5x – 6y) 4x 4x 5) Factor 2 28a + 21b - 2 2 35b c GCF = 7 Divide each term by the GCF 28a2 + 21b - 35b2c2 = 7 ( ___ 4a2 + ___ 3b - ____ 5b2c2 ) 28a 2 7 21b 7 35b 2 c 2 7 Check your answer by distributing. 7(4a2 + 3b – 5b2c2) You Try It: Factor 16xy2 - 24y2z + 40y2 1. 2. 3. 4. 2y2(8x – 12z + 20) 4y2(4x – 6z + 10) 8y2(2x - 3z + 5) 8xy2z(2 – 3 + 5) What’s the GCF? 8y2 Divide each term by the GCF. 16xy2 - 24y2z + 40y2 8y2 8y2 8y2 8y2(2x – 3z + 5) Factor each monomial 1. Put parentheses around both sets of monomials. completely: 2. Find the GCF of each set of ( 2xy + 7x)(- 2y - 7) binomials. x x -1 -1 3. Divide each term by the x (2y + 7) - 1(2y + 7) GCF. 4. Take the two GCF’s and put (x -1) (2y + 7) them in parentheses together 5. Bring down what’s in the other set of parentheses. These parentheses should always look just alike! Find the roots: (x – 2) (4x – 1) = 0 or Find the zeros x – 2 = 0 or 4x – 1 = 0 1. The zero product property says that either x=2 4x = 1 x – 2 = 0 or 4x – 1 = 0. x = ¼ 2. Solve each equation for x. 3. The roots are what x =‘s. Find the roots: 4y = 12y2 or Find the zeros. 1. Set the equation = to zero. - 12y2 + 4y = 0 4y 4y 2. Factor the GCF. 4y (- 3y + 1) = 0 3. Divide by the GCF. 4y = 0 Or -3y + 1 = 0 4. The zero product property says that either y=0 -3y = -1 4y = 0 or -3y + 1 = 0. y = 1/3 5. Solve each equation for y. 6. The roots are what y =‘s.