Question

Find the values of a and b if they are the zeros of polynomial x2+ax+b

Answer 1

here is your ans.......

Answer 2

Answer:

The value of a is 1 and value of b is -2.

Step-by-step explanation:

If a polynomial is defined as $P(x)=ax^2+bx+c$, then the sum of its zeroes is -b/a and the product of zeroes is c/a.

The given polynomial is

$p(x)=x^2+ax+b$

here, a and b are zeroes of the polynomial.

$a+b=\frac{-a}{1}$

$a+b=-a$

$b=-a-a$

$b=-2a$                 .... (1)

$a\times b=\frac{b}{1}$

$a=\frac{b}{b}$

$a=1$

The value of a is 1.

Put this value in equation (1).

$b=-2(1)=-2$

Therefore the value of b is -2.