Question

How do i find the zeros and the multiplicity of 3(x+4)(x-7)^(2)

Answer 1

If you have your equation in fully factored form (you do) then each variable factor represents a 0 where the power of the factor is the multiplicity. So in this example what are your variable factors?

Answer 2

4 and -7

Answer 3

Not quite. Notice that (x+4) = 0 when x = -4. And (x-7) = 0 when x = 7

Answer 4

What class are you taking?

Answer 5

so its what ever make the eqations 0

Answer 6

Yes.

Answer 7

ok thank you how about the multiplicity

Answer 8

The multiplicity would be any exponent on the factor. Recall that if a factor has no exponent it's assumed to be raised to the first power. So would have a multiplicity of 1, while a factor squared would be multiplicity 2, etc.

Answer 9

ok thank you

Answer 10

The zeroes are -4 and 7. The multiplicity of -4 is 1. The multiplicity of 7 is 2.