Question

Find a quadratic polynomial each with the given number as the sum and product of its zeros respectively of 1/4,-1

Answer 1

Answer:

Given,

sum of the zeroes = 1/4

product of the zeroes = -1

We know,

P(x) = x² - (sum of the zeroes)x + product of the zeroes

= x² - x/4 - 1

Multiplying throughout by 4,

= 4x² - x - 4

Step-by-step explanation:

We multiplied the equation throughout by 4 to remove the denominator 4 from the term containing x i.e., x/4