Verify whether the values indicated against the following polynomials are zeroes of the polynomial.
p(x)=ax+b; x= -b/a

Question

Verify whether the values indicated against the following polynomials are zeroes of the polynomial.p(x)=ax+b; x= -b/a

Philoid · Accepted Answer

After substituting the value for variable in the polynomial if we get 0 then that value is called zero of the polynomial.

It means that if p(x) = 0, then x will be called as the zero of the polynomial.

p(x) = ax + b; x= -b/a

substituting in ax + b

⇒ p() = a() + b

⇒ p() = -b + b

⇒ p() = 0

Yes is zero of polynomial p(x) = ax + b