Question

Find a quadratic polynomial for which the sum of zeroes -1/4is and the product of zeroes is 1/4​

Answer 1

Step-by-step explanation:

Answer

Let zeros be (α,β)

α+β=

a

−b

=1

αβ=

a

C

=−4

Polynominal is ax

2

+bx+C=0⇒x

2

+

a

bx

+

a

C

=0

x

2

−x−4=0.

Answer 2

Answer:

4x^2+x+1 = 0 (^ sign indicates power)

Step-by-step explanation:

Let the zeroes be a and b.

then,

it is given that, a + b = -1/4 and ab = 1/4,

if the sum and product of two zeroes of a quadratic equation is given, then we can frame the quadratic polynomial by the following formula:

x^2 - (a + b)x + ab, where a and b are zeroes.

Now, substituting from given,

x^2 -(-1/4)x + 1/4 = 0

x^2 + 1/4x + 1/4 = 0

Now, multiplying whole equation by 4 to eliminate 4 in the denominator, (this makes the equation simpler.)

4x^2 + x + 1 = 0. ----------- ANSWER.

That's your answer! hope it helped.

Thanks.