Question

find the condition that zeroes of polynomial p(x) =ax²+bx+c are reciprocal of each other.​

Answer 1

Answer:

Given quadratic polynomial is P(x)=ax

Given quadratic polynomial is P(x)=ax 2

Given quadratic polynomial is P(x)=ax 2 +bx+c

Given quadratic polynomial is P(x)=ax 2 +bx+cGiven the roots are reciprocal to each other

Given quadratic polynomial is P(x)=ax 2 +bx+cGiven the roots are reciprocal to each otherLet the roots be α,

Given quadratic polynomial is P(x)=ax 2 +bx+cGiven the roots are reciprocal to each otherLet the roots be α, α

Given quadratic polynomial is P(x)=ax 2 +bx+cGiven the roots are reciprocal to each otherLet the roots be α, α1

Given quadratic polynomial is P(x)=ax 2 +bx+cGiven the roots are reciprocal to each otherLet the roots be α, α1

Given quadratic polynomial is P(x)=ax 2 +bx+cGiven the roots are reciprocal to each otherLet the roots be α, α1

Given quadratic polynomial is P(x)=ax 2 +bx+cGiven the roots are reciprocal to each otherLet the roots be α, α1 ⟹ Product of roots is α×

Given quadratic polynomial is P(x)=ax 2 +bx+cGiven the roots are reciprocal to each otherLet the roots be α, α1 ⟹ Product of roots is α× α

Given quadratic polynomial is P(x)=ax 2 +bx+cGiven the roots are reciprocal to each otherLet the roots be α, α1 ⟹ Product of roots is α× α1

Given quadratic polynomial is P(x)=ax 2 +bx+cGiven the roots are reciprocal to each otherLet the roots be α, α1 ⟹ Product of roots is α× α1

Given quadratic polynomial is P(x)=ax 2 +bx+cGiven the roots are reciprocal to each otherLet the roots be α, α1 ⟹ Product of roots is α× α1 =

Given quadratic polynomial is P(x)=ax 2 +bx+cGiven the roots are reciprocal to each otherLet the roots be α, α1 ⟹ Product of roots is α× α1 = a

Given quadratic polynomial is P(x)=ax 2 +bx+cGiven the roots are reciprocal to each otherLet the roots be α, α1 ⟹ Product of roots is α× α1 = ac

Given quadratic polynomial is P(x)=ax 2 +bx+cGiven the roots are reciprocal to each otherLet the roots be α, α1 ⟹ Product of roots is α× α1 = ac

Given quadratic polynomial is P(x)=ax 2 +bx+cGiven the roots are reciprocal to each otherLet the roots be α, α1 ⟹ Product of roots is α× α1 = ac

Given quadratic polynomial is P(x)=ax 2 +bx+cGiven the roots are reciprocal to each otherLet the roots be α, α1 ⟹ Product of roots is α× α1 = ac ⟹

Given quadratic polynomial is P(x)=ax 2 +bx+cGiven the roots are reciprocal to each otherLet the roots be α, α1 ⟹ Product of roots is α× α1 = ac ⟹ a

Given quadratic polynomial is P(x)=ax 2 +bx+cGiven the roots are reciprocal to each otherLet the roots be α, α1 ⟹ Product of roots is α× α1 = ac ⟹ ac

Given quadratic polynomial is P(x)=ax 2 +bx+cGiven the roots are reciprocal to each otherLet the roots be α, α1 ⟹ Product of roots is α× α1 = ac ⟹ ac

Given quadratic polynomial is P(x)=ax 2 +bx+cGiven the roots are reciprocal to each otherLet the roots be α, α1 ⟹ Product of roots is α× α1 = ac ⟹ ac =1⟹c=a