Grade Distribution 2/17/2019 7:48 PM 9.5 - Common Factors.

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Grade Distribution 2/17/2019 7:48 PM 9.5 - Common Factors

Common Factors Common Factors SECTION 9.5 2/17/2019 7:48 PM 9.5 - Common Factors

GCF ______ or known as the Greatest Common Factor is where one can take out the biggest of the same number Factors are the numbers you multiply together to get another number. To take out the GCF as a number, make sure to take out PRIME Numbers (excluding ONE) Take out what is common with all of the factors 2/17/2019 7:48 PM 9.5 - Common Factors

Example 1 Find the Greatest Common Factor of 15 and 18 2/17/2019 7:48 PM 9.5 - Common Factors

Example 2 Find the Greatest Common Factor of 24 and 108 2/17/2019 7:48 PM 9.5 - Common Factors

Your Turn Find the Greatest Common Factor of 20, 28, and 64 2/17/2019 7:48 PM 9.5 - Common Factors

Example 3 Find the Greatest Common Factor of x7 and x5 2/17/2019 7:48 PM 9.5 - Common Factors

Example 4 Find the Greatest Common Factor of x3, x7, and x5 2/17/2019 7:48 PM 9.5 - Common Factors

Example 5 Find the Greatest Common Factor of x3 y2, x7, and x5 2/17/2019 7:48 PM 9.5 - Common Factors

Your Turn Find the Greatest Common Factor of x11 y3, x9y, and x5 y7 2/17/2019 7:48 PM 9.5 - Common Factors

Steps in Factoring Polynomials Determine if there is a GCF in the polynomial. If there is, divide the whole equation by the GCF. Put aside the GCF and focus on the factored equation Factor out the polynomial (put in parentheses) Bring in the GCF into equation and the factored polynomial 2/17/2019 7:48 PM 9.5 - Common Factors

Review Multiply 6(x + 3) 2/17/2019 7:48 PM 9.5 - Common Factors

Example 6 Factor 6x + 18 2/17/2019 7:48 PM 9.5 - Common Factors

Example 7 Factor 7x2 + 35x 2/17/2019 7:48 PM 9.5 - Common Factors

Example 8 Factor 15x4 + 6x2 2/17/2019 7:48 PM 9.5 - Common Factors

Your Turn Factor 27xy – 36y 2/17/2019 7:48 PM 9.5 - Common Factors

Example 9 Factor 5x3 – 35x2 + 10x 2/17/2019 7:48 PM 9.5 - Common Factors

Example 10 Factor 25x4y + 15x3y + 5x2y 2/17/2019 7:48 PM 9.5 - Common Factors

Your Turn Factor 15x2y4 + 20x3y5 + 5x3y3 2/17/2019 7:48 PM 9.5 - Common Factors

Steps by Factor by Grouping Draw a line in between the two equations Factor the GCF on both sides and bring down the sign Make sure the parentheses the same and bring it down Bring down both coefficients & create the factor Always bring down the sign from the second factor 2/17/2019 7:48 PM 9.5 - Common Factors

Example 11 Factor x(y + 2) + 3(y + 2) 2/17/2019 7:48 PM 9.5 - Common Factors

Example 12 Factor x(x – 1) + 5(x – 1) 2/17/2019 7:48 PM 9.5 - Common Factors

Your Turn Factor x2(y + 4) – 3y(y + 4) 2/17/2019 7:48 PM 9.5 - Common Factors

Example 13 Factor xy + 2x + 3y + 6 2/17/2019 7:48 PM 9.5 - Common Factors

Example 14 Factor ax – 2bx + ay – 2by 2/17/2019 7:48 PM 9.5 - Common Factors

Your Turn Factor ax2 – x2 + 2a – 2 2/17/2019 7:48 PM 9.5 - Common Factors

Example 15 Factor 4ax – 4ab – 2bx + 2b2 2/17/2019 7:48 PM 9.5 - Common Factors

Example 16 Factor 3xy – 2y – 3x + 2 2/17/2019 7:48 PM 9.5 - Common Factors

Your Turn Factor 3x2 + 4xy – 3x – 4y 2/17/2019 7:48 PM 9.5 - Common Factors

Assignment Worksheet 2/17/2019 7:48 PM 9.5 - Common Factors