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2. Polynomials
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Q8 of 90 Page 2

If the product of zeroes of the polynomial α2 – 6x – 6 is 4, find the value of a.

Given Product of zeroes, α β = 4


p(x) = α x2 – 6x – 6


to find: value of α


We know,


Product of zeroes ,




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7

If the sum of squares of the zeroes of the quadratic polynomial x2 – 8x + k is 40, find k.

8

If one zero of the polynomial (α2 + 9) x2 + 13x + 6α is reciprocal of the other, find the value of a.

8

If (x + a) is a factor 2x2 + 2ax + 5x + 10, find a.

9

Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively:

1,1

Questions · 90
2. Polynomials
1 2 3 1 1 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 4 5 6 7 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 11 12 12 13 13 1 2 3 3 3 3 3 3 3 3 4 5 6 6 6 6 6 6 7 7 7 7 7 7 8 9 9 9 9 9 9 9 9 9 10 11 11 11 11 12 13 14 15 15 15 15
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