Browse · MATH Print → jmc algebra intermediate Problem If P(x) is a polynomial in x, and x23+23x17−18x16−24x15+108x14=(x4−3x2−2x+9)P(x)for all values of x, compute the sum of the coefficients of P(x). Solution — click to reveal The sum of the coefficient is given by P(1). Setting x=1, we get 90=5P(1),so P(1)=18. Final answer 18 ← Previous problem Next problem →