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"#
#•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)#