find all the real zeros of the polynomial function. determine the multiplicity of each zero.
f(x)=49-x^2

Question

find all the real zeros of the polynomial function. determine the multiplicity of each zero.
f(x)=49-x^2

lgbasallote · Answer

this is a difference of two squares...factor it out then the zeros will be easy to see

lgbasallote · Answer

hint for you:
$$\huge (a+b)(a-b) = a^2 - b^2$$

anonymous · Answer

(x+7)(x-7)?

lgbasallote · Answer

yep!!! so the zeros are?

anonymous · Answer

-7 and 7

anonymous · Answer

what does it mean by "determine the multiplicity of the zero"

lgbasallote · Answer

it has a multiplicity when for example it's (x+2)^2 <--multiplicity of 2
(x-2)^3 <--multiplicity 3

basically when there is an exponent then that's when there's multiplicity

lgbasallote · Answer

in your case it's only (x+7)(x-7) so zeroes are -7 and 7...no multiplicity

lgbasallote · Answer

got it?