Question

Find the zeroes of the quadratic polynomial 4a2 -5a +1 and verify the relationship between the zeroes and the co-efficients

Answer 1

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Answer 2

${4a}^{2} - 4a - a + 1$
$4a(a - 1) - 1(a - 1)$
$(4a - 1)(a - 1)$
let
$\alpha = \frac{1}{4} and \beta = 1$
$\alpha + \beta = \frac{5}{4}$
$\frac{1}{4} + 4 = \frac{5}{4}$
verify
$\alpha \beta = \frac{1}{4}$
$\frac{1}{4} \times 1 = \frac{1}{4}$