Question

find the zeros of polynomial 2 x square - 11 x + 15 and verify the relation between the zeros and the coefficient​

Answer 1

Step-by-step explanation:

$2 {x}^{2} - 11x + 15 = 0$

$2 {x}^{2} - 6x - 5x + 15 = 0$

$2x(x - 3) - 5(x - 3)$

$(2x - 5)(x - 3)$

$x = 3 \: \: \: \: x = \frac{5}{2}$

$\alpha = 3$

$\beta = \frac{5}{2}$

$\\ \\verification:$

$\\ \alpha + \beta = \frac{ - b}{a} \\ 3 + \frac{5}{2} = \frac{11}{2}$

$\frac{11}{2} = \frac{11}{2}$

$lhs = rhs$

$\alpha \beta = \frac{c}{a}$

$3 \times \frac{5}{2} = \frac{15}{2}$

$\frac{15}{2} = \frac{15}{2}$

$hence, \: \: verified$

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