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Tpy6a [65]
3 years ago
13

What are the zeros of the function f(x)=x^2-7x−30

Mathematics
2 answers:
never [62]3 years ago
7 0

Answer:

<h2>x = 10 , -3</h2>

Step-by-step explanation:

x² - 7x - 30 = 0

x² + 3x - 10x - 30 = 0

x ( x + 3 ) - 10 ( x + 3 ) = 0

( x - 10 ) ( x + 3 )

x = 10 , -3

matrenka [14]3 years ago
6 0

Answer:

-3 and 10

Step-by-step explanation:

f(x)=x^2-7x-30

<u>1) Factor the equation</u>

First, find two factors of -30 which has a sum of -7.

⇒ These two factors are 3 and -10.

Then, write the equation as a product of two binomials.

f(x)=(x+3)(x-10)

<u>2) Find the zeros</u>

The zero product property states that any value, when multiplied by 0 will equal 0. Therefore, in this equation, either x+3 or x-10 must equal 0 for the function to equal 0:

x+3=0

x=-3

or

x-10=0

x=10

Therefore, the zeros of the function are -3 and 10.

I hope this helps!

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