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which of the binomial below is a factor of this trinomial? 2x^3-18x^2+40x

a) 2x+5
b)x+5
c)x-5
d)2x-5


Sagot :

2x^3 - 18x^2 + 40x

2x(x^2 - 9x + 20)

2x(x - 5)(x - 4)

Answer is c) x - 5
[tex]2x^3 - 18x^2 + 40 \\ \\ ( 2x:common);\\ => 2x(x^2 - 9x + 20) \\ \\ (factoring:x^2-9x+20)\\\\ =>(2x)(x-5)(x-4) \\ \\ => Answer:(C):(x-5)[/tex]