Question

Find a polynomial of degree 3 that has zeros 1,-1,4. Show work please

Answer 1

Didn't we do this already..?

Answer 2

multiply 3 terms of x's

Answer 3

if a is a zero of the polynomial, then (x - a) is a factor of the polynomial

Answer 4

where a,b,c are zeroes we have:

(x-a)(x-b)(x-c) = 0

Answer 5

yeah its is

Answer 6

what do i do after (x-1)(x+1)(x-4)

Answer 7

makes sense in my head :)

Answer 8

:)

Answer 9

after you get the terms; multiply them all together

Answer 10

x-1
x+1
-------
x^2 -x
+x -1
-----------
x^2 +0 -1
...................................

x^2 -1
x - 4
---------
x^3 -x
-4x^2+4
-------------
x^3 -4x^2-x+4

Answer 11

so the three factors are (x - 1), [x -(-1)] i.e. (x + 1) and (x - 4)

now multiply all three to get the polynomial.........

Answer 12

these terms are simply numbers in some form or fashion; so multiply them together like numbers