Please help me solve this!!

label Mathematics
account_circle Unassigned
schedule 1 Day
account_balance_wallet $5

Mar 29th, 2015

If a polynomial has a zero or root at x = a, then it has a factor (x - a). So we can simply build the factors for each root, and multiply them together:

f(x) = (x + 4)(x - 0)(x - 1)

Simplify:

f(x) = x(x^2 +3x - 4)

f(x) = x^3 + 3x^2 - 4x

You can check that x = -4, 0 and 1 all give f(x) = 0.


Note that we're just doing the reverse of what we usually do:

Polynomial f(x) = x^n + cx^n-1 ...  -> Find factors f(x) = (x + a)(x + b)... -> Get zeros x = -a, x = -b...

The tricky step in this process is almost always getting the factors from a polynomial. But working backwards, it's much easier! You get the factors from the zeros, then just multiply them together :-)


Hope this helped!

Mar 29th, 2015

Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.
Click to visit
The Notebank
...
Mar 29th, 2015
...
Mar 29th, 2015
Sep 26th, 2017
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer