Question

If a and b are zeroes of the polynomial 3x2+5x-2 then from a qudratic polynomial whose zeroes are 2a 2b

Answer 1

Solution :-

Given : f(x) = 3x² + 5x - 2

Sum of zeros = a + b = - 5/3

Product of zeros = ab = - 2/3

So,

2a + 2b = 2(a + b)

= 2(-5/3)

= - 10/3

And,

2a × 2b = 4ab

= 4 × - 2/3

= - 8/3

Quadratic polynomial can be written as,

x² - (a + b)x + ab

= x² + 10/3x - 8/3

Answer 2

Answer:

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