Question

Find the quadratic polynomial with the given numbers as the sum and the product of its zeros respectively :
1/4,-1​

Answer 1

Answer:

4x²-x-1=0

Step-by-step explanation:

general quadratic eqn is :

------------> x²-Sx+P=0

where : S= Sum of zeros of the quadratic equation

P= Product of zeros of the quadratic eqn.

so here S=1/4 and P=-1

put this in the general quadratic equation.

u get x²-(1/4)x+(-1)=0

so 4x²-x-1=0

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