Question

P(x)= ax² + bx + c. If a + b + c = 0, then find one of its zero​

Answer 1

Answer:

One of the zero of p(x) is 1

Step-by-step explanation:

Given p(x)= ax² +bx+c

The above mentioned equation is in the quadratic form

a+b+c =0

Consider the given eqn

p(x)= ax² +bx+c

The above mentioned equation is the general form of the polynomial where a, b, c are variables and x is a constant

Put x=1 in the above equation we get

p(1)=a+b+c

But we know that a+b+c = 0

Therefore p(1)=0

So when x=1 p(1)=0

Therefore x=1 is the root of p(x)  

x=1 is one of the zero of p(x)

Here p represents the polynomial

Hope it helps