Question

Write the polynomial the product and sum of whose zeros are minus 9 by 2 and minus 3 by 2 respectively

Answer 1

${x}^{2} + (3 \div 2 ) x \times 9 \div 2$

Answer 2

Answer:

The polynomial is

$x^2+\frac{3}{2}x+\frac{9}{2}$

Step-by-step explanation:

we have to write the polynomial whose product and sum of roots are given

$\text{sum of roots}=\frac{-3}{2}$

$\text{Product of roots}=\frac{9}{2}$

The polynomial is

$x^2-(\text{sum of roots})x+(\text{product of roots})$

$x^2-(\frac{-3}{2})x+\frac{9}{2}$

$x^2+\frac{3}{2}x+\frac{9}{2}$

which is required polynomial.