find a quadratic polynomial whose zeroes are - 11 and - 13
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Given :
- x = -11
- x = -13
To Find :
- Quadratic polynomial whose zeroes are -11 and -13.
Solution :
x = -11
(x + 11) = 0
x = -13
(x + 13) = 0
Multiplying (x + 11) and (x + 13)
(x + 11)(x + 13)
x² + 13x + 11x + 143
x² + 24x + 143
Another method to multiply -
(x + 11)(x + 13)
x(x + 13) + 11(x + 13)
x² + 13x + 11x + 143
x² + 24x + 143
Hence, The quadratic polynomial whose zeroes are - 11 and - 13 is x² + 24x + 143 .
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