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
May 26, 2018
Explanation:
May 26, 2018
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)