Question

Find the quadratic polynomial, for the zeroes (a,b) given in each case (1) 2,-1

Answer 1

Answer:

x² - x - 2

Step-by-step explanation:

Find the quadratic polynomial, for the zeroes 2,-1

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Given zeroes,

2 and -1

⇒ sum of zeroes = 2 + (-1)

                             = 2 - 1

                             = 1

⇒ Product of zeroes = 2(-1)

                                   = -2

the quadratic polynomial will be in the form of

→ x² - [sum of zeroes]x + [product of zeroes]

→ x² - [1]x + [-2]

→ x² - x - 2

Answer 2

Given the zeros of quadratic equation....2,-1

To find quadratic equation?

Sum of the roots= 2+(-1)=2-1=1

Product of roots=2(-1)= -2

Quadratic equation =

x^2-[sum of roots]x+product of roots

x^2-1x-2

x^2-x-2 is the quadratic equation