Respuesta :
(5x+10)/(x²-x-6)
1) 5x+10 = 5(x+2)
2) x² - x - 6 = (x+2)(x-3) 6 = -3*2, -1=-3+2
(5x+10)/(x²-x-6) = 5(x+2)/5(x+2)
As we can see greatest common factor is C. x + 2.
1) 5x+10 = 5(x+2)
2) x² - x - 6 = (x+2)(x-3) 6 = -3*2, -1=-3+2
(5x+10)/(x²-x-6) = 5(x+2)/5(x+2)
As we can see greatest common factor is C. x + 2.
Answer:
The GCF of given rational expression is x+2
C is correct.
Step-by-step explanation:
Given: [tex]\dfrac{5x+10}{x^2-x-6}[/tex]
Here we have rational expression. We need to find the GCF (greatest common factor) of rational expression.
Factor numerator:
[tex]5x+10\Rightarrow 5\cdot x+5\cdot 2[/tex]
[tex]5x+10\Rightarrow 5(x+2)[/tex]
Factor Denominator:
[tex]x^2-x-6\Rightarrow x^2-3x+2x-6[/tex]
[tex]x^2-x-6\Rightarrow (x-3)(x+2)[/tex]
Now we will see common factor from numerator and denominator.
[tex]\dfrac{5x+10}{x^2-x-6}\Rightarrow \dfrac{5}{x-3}[/tex]
Common factor is x+2
Hence, The GCF of given rational expression is x+2
