What is 3x^2 + 10x + 8?

#3x^2 + 10x + 8#

1 Answer
Jim G.
Apr 26, 2018

#(3x+4)(x+2)#

Explanation:

#"assuming you require factorisation of the quadratic"#

#"using the a-c method of factoring"#

#"the factors of the product "3xx8=24#

#"which sum to + 10 are + 6 and + 4"#

#"split the middle term using these factors"#

#rArr3x^2+6x+4x+8larrcolor(blue)"factor by grouping"#

#=color(red)(3x)(x+2)color(red)(+4)(x+2)#

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

#=(x+2)(color(red)(3x+4))#

#rArr3x^2+10x+8=(x+2)(3x+4)#

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