Question

What is the completely factored form of 9x2 + 24x + 16?

(3x + 8)(3x + 2)
(3x + 4)(3x + 4)
(9x + 8)(x + 2)
(9x + 4)(x + 4)

Answer 1

it is b, (3x+4)(3x+4) = 9x2+24x+16

Answer 2

Answer: Option 2 is correct (3x+4)(3x+4)

Step-by-step explanation:

we have general form of quadratic equation
`ax^2+bx+c`

Given quadratic is
`9x^2+24x+16`

We will use the formula for discriminant which is
`D=b^2-4ac`

On comparing the given quadratic equation with the general quadratic equation we get a=9 , b=24,c=16

substituting the values in the formula for discriminant we will get

`24^2-4(9)(16)`=0

Now, to find x we have formula
`\frac{-b\pm√(D)} {2a}`

D=0 , b=24, c=16 substituting the values we will get

`x=(-24\pm0)/(2*9) =(-4)/(3),(-4)/(3)`

factors are
`(x+(4)/(3))(x+(4)/(3))= (3x+4)(3x+4)`