Polynomial's Common Multiple

Algebra Level 2

f(x)=p(x)(x1)+1f(x)=q(x)(x2)+1f(x)=r(x)(x3)+1 \begin{aligned} f(x) &=& p(x)(x-1) +1 \\ f(x) &=& q(x)(x-2) +1 \\ f(x) &=& r(x)(x-3) +1 \end{aligned}

Let f(x)f(x) be a cubic monic polynomial, and p(x),q(x),r(x)p(x), q(x), r(x) be quadratic polynomials satisfying the system of equations above.

What is the value of f(4)?f(4)?

×

Problem Loading...

Note Loading...

Set Loading...