Question

if the zeroes of the quadratic polynomial are first composite number and highest factor of 5.find the quadratic polynomial and find the zeroes from the graph of quadratic polynomial​

Answer 1

Answer:

so the zeros of quadratic polynomial are 4 and 5

the quadratic polynomial is x ^2+ 9x +20

Answer 2

The graph of the equation given above is shown. Clearly the graph cuts x axis at 4 and 5.

Given: The zeroes of the quadratic polynomial are first composite number and highest factor of 5.

To find: The quadratic polynomial and also find the zeroes from graph of quadratic polynomial

Explanation: Composite number is a number which has factors other than 1 and the number itself.

First composite number= 4

Factors of 5 = 1,5

Highest factor= 5

Therefore, the zeroes are 4 and 5.

Sum of roots(s) = 5+4 = 9

Product of roots (p)= 5*4= 20

The quadratic polynomial whose sum and product of roots are known is given by the formula:

${x}^{2} - sx + p$

=${x}^{2} - 9x + 20$

Therefore, the quadratic equation is ${x}^{2} - 9x + 20$.