Form the polynomial whose zeroes are 5, 6.
Given: Roots are 5 and 6.
∴ Sum of the zeroes= 5 + 6 = 11
Also, product of the zeroes = 5 × 6 = 30.
The required polynomial is:
x 2 - (sum of the roots) x + Product of the zeroes
⇒ x 2 - 11x + 30 is the required polynomial.
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