6.5 Factoring Quadratics with Prime Leading Coefficients Objective: Be able to factor quadratics that start with a prime number.

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Presentation transcript:

6.5 Factoring Quadratics with Prime Leading Coefficients Objective: Be able to factor quadratics that start with a prime number.

Example 1 Factor this quadratic: 3x x + 10 Step one: 3 10 = 30 Step two: Find a factor pair of 30 whose sum is 11.

Example 1 Factor this quadratic: 3x x

Example 1 Factor this quadratic: 3x x + 10 Step three: Template (3x)(x)

Example 1 Factor this quadratic: 3x x + 10 Step four: (3x)(x) Choose values that create the 5 and 6 from step

Example 1 Factor this quadratic: 3x x + 10 Step five FOIL to check your work: (3x)(x) 3x 2 + 6x + 5x +10 3x 2 +11x

Example 2 Factor this quadratic: 5x x – 18 Step one: = -90 Step two: Find a factor pair of -90 whose sum is 27.

Example 2 Factor this quadratic: 5x x – There are more pairs here, but I stopped when I found the one I needed.

Example 2 Factor this quadratic: 5x x – 18 Step three: Template (5x)(x)

Example 2 Factor this quadratic: 5x x – 18 Step four: (5x)(x) Choose values that create the -3 and 30 from step 2. – 3+ 6

Example 2 Factor this quadratic: 5x x – 18 Step five FOIL to check your work: (5x)(x) 5x x – 3x – 18 5x 2 +27x – 18 – 3+ 6

Assignment 6.5 Worksheet