Question

Find
a quadratic polynomial with
the given number as the sum
product of its zeroes sespectively
are 1/4and-1
a​

Answer 1

Answer:

4x^2 + x - 4 = 0

Step-by-step explanation:

x2 + (sum)x + (product) = 0

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