Question

if 0and 1are the zeroes of the polynomial 2x³-3x²+ax+b then find the value of a and b​

Answer 1

Question -

If 0 and 1 are the zeroes of the polynomial 2x³-3x²+ax+b then find the value of a and b

Solution -

Let,

p(x) = 2x³-3x²+ax+b

Given that,

0 is zero of the p(x) = 2x³-3x²+ax+b

Now,

p(0) =>2(0)²-3(0)²+a(0)+b=0

p(0)=>0-0+0+b=0

p(0)=>b=0.......1)

Again,

1 is zero of p(x) =2x³-3x²+ax+b

p(1)=>2(1)³-3(1)²+a(1)+b=0

p(1)=>2-3+a+b=0

p(1)=> - 1+a+0=0[By 1]

p(1)=>a=1

Therefore the value of a is 1 and b is 0