Question

If € and ¥ are the zeroes of the polynomial p(x) = 3x - 14x + 15. find the value of €^2 and ¥^2​

Answer 1

Answer:

If your polynomial is

$3 {x}^{2} - 14x + 15 = 0$

then your answer is here

$3 {x}^{2} -14x + 15 = 0$

$3 {x}^{2} - 9x - 5x + 15 = 0$

$3x(x - 3) - 5(x - 3) = 0 \\ (x - 3)(3x - 5) = 0$

$x = 3 \: or \: \frac{5}{3}$

Let € = α

And ¥ = β

${ \alpha }^{2} = {3}^{2}$

${ \alpha }^{2} = 9$

${ \beta }^{2} ={ (\frac{5}{3})}^{2} \\ { \beta }^{2} = \frac{25}{9}$

${ \beta }^{2} = \frac{25}{9}$

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