Question

Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively. (i) 1/4,-1

Answer 1

Answer: 4x² - x - 4

Step-by-step explanation:

Sum of zeroes = ¼

Product of zeroes = -1

Quadratic polynomial is of the form,

=> x² - x(sum of zeroes) + (product of zeroes)

= x² - x(¼) - 1

= x² - x/4 - 1

Multiply the above equation by 4,

= 4(x² - x/4 - 1)

= 4x² - x - 4

Hope it helps

Answer 2

formula of quadratic equation is
x²-(Sum of root)x + (Product of root) = 0
Plug the value in formula we get
x² –(1/4)x -1  = 0 
Multiply by 4 to remove denominator we get
4x²  -  x  -4  = 0

Answer:
4x^2 - x - 4