What are the zeroes of f(x) = x2 + 5x + 6?

Mathematics

1 answer:

Vera_Pavlovna [14]2 years ago

3 0

Answer:

Zeros are x = −2, −3 .

Step-by-step explanation:

Given : f(x) = x² + 5x + 6.

To find : What are the zeroes of f(x).

Solution : We have given that

f(x) = x² + 5x + 6.

To find the zeros of the function we need to set f(x) = 0.

x² + 5x + 6 = 0.

On factoring

x² + 3x +2x + 6 = 0.

Taking common x from first two term and 2 from last two terms

x ( x + 3) +2 ( x +3) = 0.

On grouping

(x + 3) (x + 2) = 0

Now, x + 3 = 0 and x + 2 = 0

x = -3 and x = -2

Therefore, Zeros are x = −2, −3 .

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