Let fx 6x2 10x 4 in each of the following Give the factor

Let f(x) = 6x^2 + 10x - 4 in each of the following. Give the factored form of f(x) = If you need to use the squareroot symbol, as in x = Squareroot 17, type it using: squareroot (17). To the right, enter solutions to f(x) = 0. Solutions are x = To the right, enter solutions to f(x) = 9. Solutions are x =

Solution

A.

f(x) = 6x^2 + 10x - 4

f(x) = 6x^2 + 12x - 2x - 4

= 6x*(x + 2) - 2*(x + 2)

f(x) = (x + 2)*(6x - 2)

B.

when f(x) = 0

(x+2)*(6x-2) = 0

x1 = -2 OR x2 = 1/3

C.

when f(x) = 9

6x^2 + 10x - 4 = 9

6x^2 + 10x - 13 = 0

Solving the qudratic equation

x = [-10 +/- sqrt (10^2 - 4*6*(-13))]/2*6

x = [-10 +/- sqrt 412]/12

x1 = [-5 - sqrt 103]/6 OR x2 = [-5 + sqrt 103]/6

Let me know if you have any doubt.