Thread: Prep Qs for test

-Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1 and the given zeros.
-3, -4 + i, 1-√3

Factor Polynomial completely
8c^3 - 512


Evaluate Expression
(1.5 x 10^4)(3.2 x 10^-8) <power of negative 8
(1.2 x 10^-7) <power of negative 7

-I could really use help on how to solve these. I have a test tomorrow and these are the main type of problems i didnt understand.

Originally Posted by Pineapple

-Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1 and the given zeros.
-3, -4 + i, 1-√3

Linear factors are , the conjugate pair and (since the conjugate root theorem is valid), and . Therefore .....

I was tempted to add as a factor so that is a quadratic factor and you have a nice simple polynomial, but then the resulting polynomial is not of least degree.

Originally Posted by Pineapple

Factor Polynomial completely
8c^3 - 512

and I'm sure you know how to factorise a difference of two cubes.

Originally Posted by Pineapple

Evaluate Expression
(1.5 x 10^4)(3.2 x 10^-8) <power of negative 8
(1.2 x 10^-7) <power of negative 7
[snip]

Both can be done using a calculator. What's actually required here? A technology free simplification (in which case nothing needs to be done with the second) .....?