Question

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

Answer 1

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

Answer 2

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

Answer 3

(x+7)(x-7)?

Answer 4

yep!!! so the zeros are?

Answer 5

-7 and 7

Answer 6

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

Answer 7

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

Answer 8

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

Answer 9

got it?