Question

( begin{array}{rl}P(x)= & x^{3}-10 x^{2}+a x+b=0 P(1)=0 & p(2)=0 1-10+a+b=0 & 8-40+2 a+b=0 a+b=9 & 2 a+b=32 b=9-23 & frac{a+b=9}{10=23} b=-14end{array} )

# Find the values of'a'an 'b'. so that 1 and 2 are the zeros of the polynomial x-10x®+ax+b.

Solution