Question

What is/are the zero(s) for quadratic function f(x) = 3x^2 + 30x +63?

Answer 1

Answer: -7, -3

Explanation:

Zeroes mean x's or roots

f(x) =
`3x^(2) +30x+63` take out the greatest common factor, all the terms can be divided by 3

f(x) =
`3(x^(2) +10x+21)`

You can factor to find the zeros. Factoring means to find 2 things that multiply to make original.

To factor, Find 2 numbers that multiply to the last number (21) but add to middle(10)

7 and 3 multiply to +21 and add to +10

put the 2 numbers you found in factor form

f(x)=3(x+7)(x+3) Zeroes happen when y=0 you will solve for x

you can set each of the parentheses equal to 0 to solve for x

(x+7)=0 and (x+3)=7

x= -7 x= -3 these are your zeroes