# Factor each polynomial?

##
#2x^2 + 5x + 2#

I missed a week of school and my teacher will not re-teach so please help.

I missed a week of school and my teacher will not re-teach so please help.

##### 2 Answers

#### Explanation:

#### Explanation:

#"given a quadratic in "color(blue)"standard form"#

#â€¢color(white)(x)ax^2+bx+c color(white)(x);a!=0#

#"to factor consider the factors of the product ac which"#

#"sum to b"#

#2x^2+5x+2" is in standard form"#

#"with "a=2,b=5" and "c=2#

#"consider the factors of the product "2xx2=4#

#"which sum to + 5"#

#"the factors required are + 4 and + 1"#

#"split the middle term using these factors"#

#2x^2+4x+x+2larrcolor(blue)"factor by grouping"#

#=color(red)(2x)(x+2)color(red)(+1)(x+2)#

#"take out the "color(blue)"common factor "(x+2)#

#=(x+2)(color(red)(2x+1))#

#2x^2+5x+2=(x+2)(2x+1)#