Find the zeros of the function. Enter the solutions from least to greatest.
h(x) = (-4x – 3)(x – 3)
lesser x =
greater x =

x = -3/4 or x = 3

Step-by-step explanation:

Solve for x over the real numbers:

(-4 x - 3) (x - 3) = 0

Hint: | Find the roots of each term in the product separately.

Split into two equations:

-4 x - 3 = 0 or x - 3 = 0

Hint: | Look at the first equation: Divide both sides by the sign of the leading coefficient of -4 x - 3.

Multiply both sides by -1:

4 x + 3 = 0 or x - 3 = 0

Hint: | Isolate terms with x to the left hand side.

Subtract 3 from both sides:

4 x = -3 or x - 3 = 0

Hint: | Solve for x.

Divide both sides by 4:

x = -3/4 or x - 3 = 0

Hint: | Look at the second equation: Solve for x.

Add 3 to both sides:

x = -3/4 or x = 3

lesser x = -3/4

greater x =3

Step-by-step explanation:

h(x) = (-4x – 3)(x – 3)

Set the function equal to zero to find the zeros

0 = (-4x – 3)(x – 3)

Using the zero product property

0 = (-4x – 3)   0=(x – 3)

Solve each  equation

3 = -4x          3 =x

-3/4=x            3 =x

lesser x = -3/4

greater x =3

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step-by-step explanation: