Factor each polynomial?

#2x^2 + 5x + 2#

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

2 Answers
Abhishek K.
May 26, 2018

#rarr2x^2+5x+2=(x+2)(2x+1)#

Explanation:

#rarr2x^2+5x+2#

#=2x^2+4x+x+2#

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

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

Jim G.
May 26, 2018

#(x+2)(2x+1)#

Explanation:

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

#•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)#

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