Hey guys , Need help with this one -( Form a polynomial whose zeros and degrees are given. Zeros; -1 , 1 , -7 degree 3 )
Thanks
Any polynomial with 3 roots has a degree 3
So, you have the roots at x=1, x=-1 and x=-7
Carry over so that you have
(x-1), (x+1) and (x+7), these are the 3 factors of your desired polynomial so just multiply them to get your answer.
$\displaystyle (x-1)(x+1)(x+7)$
$\displaystyle (x^2-1)(x+7)$
$\displaystyle x^3+7x^2-x-7$