Question

Question 8

Which of the following represents the zeros of f(x) = 6x³ + 25x² - 24x + 5?
O
O
O
5,
si
vi
11
32
5
11
1/3
1/2
11
32
13
112
Question 9

Answer 1

The zeros of a polynomial are the values of x for which the polynomial equals zero. To find the zeros of the polynomial f(x) = 6x³ + 25x² - 24x + 5, you can use synthetic division or other methods to factor the polynomial.

In this case, you can see that the polynomial has a rational root x = 1/2 because if you substitute x = 1/2 into the polynomial, it will equal zero. Using synthetic division or polynomial long division, you can divide the polynomial by (2x - 1), which will result in a quadratic polynomial. By solving that quadratic equation, you can find the other two zeros.

The zeros of f(x) = 6x³ + 25x² - 24x + 5 are:

1/2 (x = 1/2)

-2 (from solving the quadratic equation)

So, the zeros are 1/2 and -2.

Explanation: