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Zeros of a Polynomial

If the zeroes...

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If the zeroes of the cubic polynomial x3-6x2+3x+10 are of the form a, a+b,a+2b for some real numbers a and b then find the value of a and b

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Similar questions

Q. Given that the zeroes of the cubic polynomial

f (x) = x^{3} - 6 x^{2} + 3 x + 10

are of the form

a, a + b, a + 2 b

for some real numbers

a

b

, find the values of

a

b

as well as the zeros of the given polynomial.

Q. Question 2
Given that the zeroes of the cubic polynomial

x^{3} - 6 x^{2} + 3 x + 10

are of the form (a), (a + b) and (a + 2b) for some real numbers a and b, find the values of a and b as well as the zeroes of the given polynomial.

If $a, a + b, a + 2 b$ are zeroes of the cubic polynomial $x^{3} - 6 x^{2} + 3 x + 10$ , then $a + b =$ ________.

Q. If a and b are the zeros of the quadratic polynomial

f (x) = 6 x^{2} + x - 2

, find the value of

\frac{a}{b} + \frac{b}{a}

.

Q. For which value of a and b, the zeroes of

q (x) = x^{3} + 2 x^{2} + a

are also the zeroes of the polynomial

p (x) = x^{5} - x^{4} - 4 x^{3} + 3 x^{2} + 3 x + b

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