Question

find the zeroes of the quadratic polynomial the sum and product of whose zeroes are 4and 4 respectively​

Answer 1

Answer:

x^2+4x+4

Step-by-step explanation:

we know that,

sum of zeroes =alpha+beta =-b/a=-(-4)/1=4/1=4

product of zeroes = alpha*beta=c/a=4/1=4

so,  a=1    b=4    c=4

the quadratic equation is    x^2+4x+4=0

Answer 2

Step-by-step explanation:

Given :

Sum and product of zeroes of a quadratic polynomial are 4 and 4.

To find :

The quadratic polynomial?

Solution :

We have,

=> Sum of zeroes,

=> (α+β) = -b/a = 4

=> Product of zeroes,

=> (αβ) = c/a = 4

We know,

=> Quadratic polynomial :

• x² - (Sum of zeroes)x + (Product of zeroes)
• x² - (α+β)x + (αβ)

Substituting we get,

=> x² - (4)x + (4)

=> x² - 4x + 4

∴ x² - 4x + 4 is the required quadratic polynomial.

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