Question

Find all zeros of f(x) = x^2-3x^2-11x+15. Enter the zeros separated by commas. Enter exact values, using radicals and/or fractions if necessary, not decimal approximations.

a) x = 5, x = -3
b) x = 3, x = -5
c) x = 2, x = -7
d) x = -2, x = 7

Answer 1

To find the zeros of a given quadratic equation, it is essential to use the quadratic formula after correctly defining the equation. By substituting the coefficients into the formula, we obtain the values of x for which the function equals zero.

Step-by-step explanation:

To find the zeros of the function f(x) = x^2 - 3x^2 - 11x + 15, one would first need to clarify the correct form of the quadratic equation.

Assuming the correct equation is f(x) = x^2 - 3x^2 - 11x + 15, which simplifies to f(x) = -2x^2 - 11x + 15, we can apply the quadratic formula to find the zeros of the function:

ax² + bx + c = 0

To solve a quadratic equation of this form, we use the quadratic formula:

x = √(b² - 4ac) / (2a)

By substituting a = -2, b = -11, and c = 15 into the formula, we can find the values for x that make the equation equal to zero. The zeros are the values of x where f(x) evaluates to 0, which also represent the points where the graph of the function crosses the x-axis.