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# Polynomial DPP 2

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- If the sum of zeroes of the quadratic polynomial 3x2 – kx + 6 is 3, then find the value of k.
- If the sum of the zeroes of the polynomial p(x) = (k2 – 14) x2 – 2x – 12 is 1, then find the value of k.
- If α and β are the zeroes of a polynomial such that α + β = -6 and αβ = 5, then find the polynomial.
- A quadratic polynomial, whose zeroes are -4 and -5, is …. ?
- If α and β are zeroes of p(x) = kx2 + 4x + 4, such that α2 + β2 = 24, find k.
- If p(x) = x3 – 2x2 + kx + 5 is divided by (x – 2), the remainder is 11. Find k. Hence find all the zeroes of x3 + kx2 + 3x + 1.
- Find all the zeroes of the polynomial 8x4 + 8x3 – 18x2 – 20x – 5, if it is given that two of its zeroes are 52−−√ and −52−−√
- If a polynomial x4 + 5x3 + 4x2 – 10x – 12 has two zeroes as -2 and -3, then find the other zeroes.
- If a polynomial x4 + 5x3 + 4x2 – 10x – 12 has two zeroes as -2 and -3, then find the other zeroes.
- Divide 4x3 + 2x2 + 5x – 6 by 2x2 + 1 + 3x and verify the division algorithm.