Question

What are the zeros of R(x) = x2 - x - 30?

Answer 1

x = 6 or x = -5

Explanation:

To find the zeros of a function, you find the values of x when R(x) = 0.

0 = x² - x - 30

Factor the equation:

0 = (x + 5) (x - 6)

Now split it into two equations:

0 = x + 5

0 = x - 6

Solve:

x = -5

x = 6

Answer 2

The zeroes of the function are the x values when f(x) = 0 so we can write:

0 = x² + x - 30

0 = (x + 6)(x - 5) (To factor this we need to find 2 numbers that have a sum of 1 and a product of -30; these numbers are 6 and -5)

x + 6 = 0 or x - 5 = 0 (Use Zero Product Property)

x = -6, 5

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