Let f(x)=0 be a polynomial equation with real coefficients. Then between any two distinct real roots of f(x)=0, there exists at least one real root of the equation f'(x)=0. This result is a consequence of the celebrated Rolle's theorem applied to polynomials. Much information can be extracted about the roots of f(x)=0 from the roots of f'(x)=0. If the roots of x^(3)-12x+k=0 lie in (-4, -3),(0, 1) and (2, 3), then the range of valuesof k is

Let f(x)=0 be a polynomial equation with real coefficients. Then betwe

1.	Let f(x)=0 be a polynomial equation with real coefficients. Then between any two distinct real roots of f(x)=0, there exists at least one real root of the equation f'(x)=0. This result is a consequence of the celebrated Rolle's theorem applied to polynomials. Much information can be extracted about the roots of f(x)=0 from the roots of f'(x)=0. If the roots of x^(3)-12x+k=0 lie in (-4, -3),(0, 1) and (2, 3), then the range of valuesof k is
Answer» `4 lt K lt 11` `9 lt k lt 11` `8 lt k lt 13` `4 lt k lt 13` ANSWER :B

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