Question

find the quadratic polynomial whose sum of zero is 4and product of zero is 1

Answer 1

Answer:

x²-4x+1=0 is the required quadratic equation

Answer 2

given :-

sum of zeroes = 4

product of zeroes = 1

standard form of quadratic polynomial = ax² + bx + c

we know that,

sum of zeroes = -b/a

and product of zeroes = c/a

so we can say that,

• -b/a = 4 ➡ b/a = -4

and

• c/a = 1

therefore a = 1, b = -4 and c = 1

hence, the quadratic polynomial is x² - 4x + 1