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2 years ago

10

Which of the following is the complete factorization of 10x - 3 - 3x 2?

1 answer:

andrew11 [14]2 years ago

5 0

-3x^2+10x-3

This is of the form ax^2+bx+c. We need to find two values, j and k, such that:

jk=ac=9 and j+k=b=10, so j and k must be 1 and 9.

Now replace bx with jx and kx in the original equation...

-3x^2+x+9x-3 now factor 1st and 2nd pair of terms

-x(3x-1)+3(3x-1)

(-x+3)(3x-1) or equivalently...

-(x-3)(3x-1) or as they put it:

-(3x-1)(x-3)

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