MATH SOLVE

5 months ago

Q:
# What are the factors of 2x2+3x-54 ? Select two options 2x-9 2x-6 2x+6 x-6 x+6

Accepted Solution

A:

The factors of expression [tex]2x^{2} +3x-54[/tex] are (x+6) and (2x-9).The given expression is: [tex]2x^{2} +3x-54[/tex]What is a factor?A factor is a number that divides another number leaving no remainder.We can rewrite the given expression as:[tex]2x^{2} +12x-9x-54[/tex] (middle term has been splitted)Take 2 as common from first two terms while take -9 as common from last two terms.[tex]2x(x+6)-9(x+6)[/tex]Take (x+6) as common[tex](x+6) (2x-9)[/tex]So, we got the factors (x+6) and (2x-9)Therefore, The factors of expression [tex]2x^{2} +3x-54[/tex] are (x+6) and (2x-9).To get more about factors visit: