# How do you factor by grouping #3x^2 - 17x + 10#?

##### 2 Answers

#### Explanation:

In the quadratic polynomial

hence we should split

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Note - If sign of coefficient of

#### Explanation:

#"factor the quadratic using the a-c method"#

#"the factors of the product "3xx10=30#

#"which sum to "-17" are "-15" and "-2#

#"split the middle term using these factors"#

#3x^2-15x-2x+10larrcolor(blue)"factor by grouping"#

#=color(red)(3x)(x-5)color(red)(-2)(x-5)#

#"take out the "color(blue)"common factor "(x-5)#

#=(x-5)(color(red)(3x-2))#

#3x^2-17x+10=(x-5)(3x-2)#