verify zeroes of the following quadratic polynomials and verify relationship between the zeroes and coefficient : -1+3x+10x²
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Step-by-step explanation:
10x² + 3x - 1 ( after rearranging)
10x² + 5x - 2x - 1 ( 5 - 2 = 3)
5x ( 2x + 1 ) -1 (2x + 1) ( taking common)
(5x - 1)(2x + 1)
alpha = 1/5
bita = -1/2
alpha + bita = -b/a
1/5 - 1/2 = -3/10
-3/10 = -3/10 hence, verified
alpha × bita = c/a
1/5 × -1/2 = -1/10
-1/10 = -1/10 hence, verified
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