Westonci.ca is your trusted source for accurate answers to all your questions. Join our community and start learning today! Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

Which statement about k(x)=-x2-2x+15 is true?

A The zeros are -3 and 5, because k(x)= -(x + 3)(x - 5).
B The zeros are -5 and 3, because k(x)= -(x + 5)(x - 3).
C The zeros are -5 and -3, because k(x)= -(x + 5)(x + 3).
D The zeros are 3 and 5, because k(x)= -(x - 3)(x - 5).​


Sagot :

Answer:

The zeros are -5 and 3, because k(x)= -(x + 5)(x - 3).

Step-by-step explanation:

The function k(x)=-x2-2x+15 can be re-written as k(x) = -x^2 - 2x + 15, which in turn becomes -(x^2 + 2x - 15) after the negative sign is factored out.

The quantity inside parentheses is equivalent to (x + 5)(x - 3).  Setting this equal to zero, we get (x + 5) = 0 and (x - 3) = 0, so the zeros are {-5, 3}.  

Thus, Answer B is correct:  

The zeros are -5 and 3, because k(x)= -(x + 5)(x - 3).

Answer:

The zeros are -5 and 3, because k(x)= -(x + 5)(x - 3).

Step-by-step explanation:

The quantity inside parentheses is equivalent to (x + 5)(x - 3).  Setting this equal to zero, we get (x + 5) = 0 and (x - 3) = 0, so the zeros are {-5, 3}.