Factor completely 3x^2− x − 4.

( x + 1 ) ( 3 x − 4 )

Step-by-step explanation:

3x^2− x − 4

Factor − 1 out of − x .

3 x^2 − ( x ) − 4

Rewrite − 1 as 3 plus − 4

3 x^2 + ( 3 − 4 ) x − 4

Apply the distributive property.

3 x^2 + 3 x − 4 x − 4

Group the first two terms and the last two terms.

( 3 x 2 + 3 x ) − 4 x − 4

Factor out the greatest common factor (GCF) from each group.

3 x ( x + 1 ) − 4 ( x + 1 )

Factor the polynomial by factoring out the greatest common factor, x + 1 .

( x + 1 ) ( 3 x − 4 )

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66answer:

step-by-step explanation:

answer: yes, since the line has a steeper rate of change than the exponential the y-values will be greater and they will only intersect one time.