Question

Help! I'll fan and medal
Find a cubic function with the given zeros.

Square root of two., - Square root of two., -2

Answer 1

@sammixboo

Answer 2

Answers:
f(x) = x3 + 2x2 - 2x + 4
f(x) = x3 + 2x2 + 2x - 4
f(x) = x3 - 2x2 - 2x - 4
f(x) = x3 + 2x2 - 2x - 4

Answer 3

Square root of 2, and square root of -2?

Answer 4

\[\sqrt{2} , -\sqrt{2} , and -2\]

Answer 5

If a function has roots of a, b, and c (all with multiplicity 1. Haven't heard of multiplicity? then don't worry about it.) the equation of the cubic function would be:

f(x) = (x - a)(x - b)(x - c)

Answer 6

and then you multiply (x-a)(x-b)(x-c) to get your final answer.

Answer 7

I'm just confused about what I put where..

Answer 8

If a is a root, then the equation is (x - a)

is sqrt(2) is a root then the equation is (x - sqrt(2))

do the same for the other two roots, and then you expand them

Answer 9

@sammixboo I don't understand..

Answer 10

what don't you understand?

Answer 11

Ugh..All of it, I know you just explained it all but I've literally been doing math all day my brain is fried.