Question

If 3 and 4 are sum of the roots and product of the roots respectively then the

required polynomial is_​

Answer 1

Answer:

x² - 3x + 4

Note:

If A and B are the zeros of a polynomial then it is given by ; x² - (A+B)x + A•B.

Solution:

Here,

Sum of zeros = 3

=> A + B = 3

Also,

Product of zeros = 4

=> A•B = 4

Thus,

The required polynomial will be given as :

x² - (A+B)x + A•B

ie; x² - 3x + 4

Hence,

x² - 3x + 4 is the required polynomial.