Question

Find the quadratic polynomial, the sum and product of whose zeroes are 0 and −3 5 respectively and  hence find the zeroes of this polynomial. plz tell ...​

Answer 1

Question:

Find the quadratic polynomial, the sum and product of whose zeroes are 0 and −3/5 respectively and  hence find the zeroes of this polynomial.

Answer:

$\textsf{ given } \: a+b=0$

$\textsf{and } \: ab= -\frac{3}{5}$

$\textsf{quadratic polynomial is}$

$x²-(a+b)x+ab=0$

$x²-(0)x- \frac{3}{5}$

$x²- \frac{3}{5}=0$

$\implies x²- \frac{3}{5}$

$\implies x=± \sqrt{ \frac{3}{5}}$

$∴ \textsf{ quadratic polynomial }=x²- \frac{3}{5}$

$zeroes \: =±\sqrt{ \frac{3}{5} }$

Answer 2

Answer:

Question:

Find the quadratic polynomial, the sum and product of whose zeroes are 0 and −3/5 respectively and  hence find the zeroes of this polynomial.

Answer:

\textsf{ given } \: a+b=0 given a+b=0

\textsf{and } \: ab= -\frac{3}{5}and ab=−

5

3

\textsf{quadratic polynomial is}quadratic polynomial is

x²-(a+b)x+ab=0x²−(a+b)x+ab=0

x²-(0)x- \frac{3}{5}x²−(0)x−

5

3

x²- \frac{3}{5}=0x²−

5

3

=0

\implies x²- \frac{3}{5}⟹x²−

5

3

\implies x=± \sqrt{ \frac{3}{5}}⟹x=±

5

3

∴ \textsf{ quadratic polynomial }=x²- \frac{3}{5}∴ quadratic polynomial =x²−

5

3

zeroes \: =±\sqrt{ \frac{3}{5} }zeroes=±

5

3