Question

find a quadratic polynomial whose zeroes are 1 and minius 3 verify the relation between the cofficients and zeroes of the polynomial

Answer 1

Hey there !!

Let α = 1 and β = -3.

Then,

→ sum of zeros = ( α + β ) = 1 + (-3) = -2.

→ And, product of zeroes = αβ = 1 × (-3) = -3.

S0, the required polynomial is :-

= x² - ( α + β )x + αβ .

= x² - (-2)x + (-3).

= x² + 2x -3.

Hence, the required polynomial is x² + 2x - 3.

VERIFICATION:-

→ sum of zeros = -2 = -2/1 = -( coefficient of x ) / ( coefficient of x² ) .

→ And, product of zeros = -3 = -3/1 = constant term / coefficient of x² .

Hence, it is verified.

THANKS

#BeBrainly.

Answer 2

this is the answer of your questions