generate 5 question on polynomials
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1. If one zero of the polynomial 5z2 + 13z – p is reciprocal of the other, then find p.2. If the product of two zeroes of polynomial 2x3 + 3x2 – 5x – 6 is 3, then find its third zero.3. Find the polynomial of least degree which should be subtracted from the polynomial x4 + 2x3 – 4x2 + 6x – 3 so that it is exactly divisible by x2 – x + 1.4. Is polynomial y4 + 4y2 + 5 have zeroes or not?5. Write a quadratic polynomial, sum of whose zeroes is and product is 5.
1. If one zero of the polynomial 5z2 + 13z – p is reciprocal of the other, then find p.2. If the product of two zeroes of polynomial 2x3 + 3x2 – 5x – 6 is 3, then find its third zero.3. Find the polynomial of least degree which should be subtracted from the polynomial x4 + 2x3 – 4x2 + 6x – 3 so that it is exactly divisible by x2 – x + 1.4. Is polynomial y4 + 4y2 + 5 have zeroes or not?5. Write a quadratic polynomial, sum of whose zeroes is and product is 5.
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