Question

find a quadratic polynomial whose roots are 1/4^2-1​

Answer 1

Answer:

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Quadratic polynomial roots are (1/4)²=1/8, -1

Find :- Quadratic polynomial

Solution:-

Given roots = 1/8, -1

Take 1/8 as sum of roots

-1 as product of roots

Therefore quadratic polynomial= x²-x(Sum of roots )+ products =0

Sum = a+b=1/8

Product= ab= -1

x²-x(a+b) +ab

${x}^{2} - x \times \frac{1}{8} - 1 = 0$

${x}^{2} - \frac{1}{8} x - 1 = 0$

$8 {x}^{2} - x - 8 = 0$

Therefore the quadratic polynomial is 8x²-x-8=0