F(x)=5x^2+13x+6

Question

f(x)=5x^2+13x+6

 

Answer 1

5X^2 + 13 X + 6 =0               / 30=  2 * 15 = 6 * 5 = 3 * 10    3 + 10 =13 

 

 

 5 X^2 + 10 X + 3X + 6 =0

 

( X + 2 )( 5X +3) =0

 

  X + 2 = 0 X = -2   5X +3 = 0   X = - 3/5 

Answer 2

Hi Keon;

F(x)=5x^2+13x+6

For the FOIL...

FIRST must be (5x)(x)=5x²

OUTER and INNER must add-up to 13x.

LAST must be (6)(1) or (1)(6) or (2)(3) or (3)(2) and both numbers must be positive to render the sum of 13 and product of 6.

(5x+3)(x+2)

Let's FOIL...

FIRST...(5x)(x)=5x²

OUTER...(5x)(2)=10x

INNER...(3)(x)=3x

LAST...(3)(2)=6

5x²+10x+3x+6

5x²+13x+6

I assume we are setting this equal to zero...

(5x+3)(x+2)=0

Either or both parenthetical equation(s) must equal zero...

5x+3=0, 5x=-3, x=-3/5

x+2=0, x=-2