3 votes 3 votes A polynomial $p(x)$ is such that $p(0)=5, \: p(1)=4, \: p(2)=9$ and $p(3)=20$. The minimum degree it can have is $1$ $2$ $3$ $4$ Set Theory & Algebra nielit2016mar-scientistb engineering-mathematics functions polynomials + – admin asked Mar 31, 2020 • recategorized Oct 23, 2020 by Krithiga2101 admin 799 views answer comment Share Follow See 1 comment See all 1 1 comment reply Kabir5454 commented Jan 25, 2022 reply Follow Share answer is 2. What is the minimum degree of a polynomial, given the initial conditions? - Mathematics Stack Exchange 1 votes 1 votes Please log in or register to add a comment.
1 votes 1 votes We have 4 equations. Using them we can determine at least 4 variable. Hence the equation will be ax^3+bx^2+cx+d=0 Therefore the minimum degree will be 3. DAWID15 answered Dec 12, 2021 DAWID15 comment Share Follow See 1 comment See all 1 1 comment reply lokeshsharma123456 commented Jan 8, 2022 reply Follow Share p(0)=c P(1)=a+b+c=4 P(2)=4a+2b+c=9 P(3)=9a+3b+c=20 On solving the above equations we get P(x)=3x2-4x+5=0 Hence the minimum degree it can have is 2 0 votes 0 votes Please log in or register to add a comment.