Question

Select the correct answer from the drop-down menu. Find the polynomial.-1/3, 4 is the solution set of.

Answer 1

Answer:

3x² - 11x - 4 =0

Step-by-step explanation:

The solution to the polynomial is;

X= -1/3 and  x = 4

For x = -1/3, we have (x + 1/3) = 0

For x = 4, we have (x - 4) = 0

Combining the two equations we have;

(x + 1/3)(x - 4) = 0

Now expand the equation

(x + 1/3)(x - 4) = 0

x² - 4x + 1/3x - 4/3 = 0

Multiplying by 3 to eliminate the denominator,

3x² - 12x + x - 4 = 0

3x² - 11x - 4 =0

Answer 2

Answer:

2. $3x^2-11x-4=0$

Step-by-step explanation:

Since $x=-\frac{1}{3}$ and $x=4$ is a solution; then we can work backwards to find the required polynomial.

Thus;

$3x+1=0$ and $x-4=0$

We multiply the left hand side and right hand side separately to obtain;

$(3x+1)(x-4)=0\times0$

We expand using the distributive property to obtain;

$3x^2-12x+x-4=0$

Simplify;

$3x^2-11x-4=0$

The second choice is correct.