Question

Find the quadratic polynomial each with the given number as the sum and product of its zero :-1/4,1/4​

Answer 1

Answer:

(vi) 4,1

sum of zeros =1

R.p={x2-(sum)x+(product) }

=K {x2-(4)x+(1}

=K {x2-4x+1}

Hence, the quadratic polynomial is x2-4x+1

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Answer 2

${ \huge{ \underline{ \underline{ \sf{ \green{GivEn : }}}}}}$

• Sum of zeroes = 1/4

• Product of zeroes = 1/4

${ \huge{ \underline{ \underline{ \sf{ \green{To \: find :}}}}}}$

• What's the quadratic polynomial?

${ \huge{ \underline{ \underline{ \sf{ \green{SoluTion : }}}}}}$

Let α and β are the zeroes of quadratic polynomial.

We know,

formula for a quadratic polynomial

x²- (α + β)x + αβ

Where,

α + β = Sum of zeroes

αβ = Product of zeroes

Given that,

( α + β ) = 1/4

αβ = 1/4

Now, find the quadratic polynomial

x²- (α + β)x + αβ

= x² -1/4 x + 1/4

= 4x² - x + 1

Hence, the quadratic polynomial is

4x² - x +1 =0