Question

find the zeros and verify the relation between zeros and Coefficient polynomial px= 2xsquare-x-6​

Answer 1

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$p(x) = 2 {x}^{2} - x - 6$

$2 {x}^{2} - x - 6 = 0$

Or,

$2 {x}^{2} - 4x + 3x - 6 = 0$

Or,

$2x(x - 2) - 3(x - 2) = 0$

Or

$(2x - 3)(x - 2) = 0$

Therefore, either 2x-3=0 or x-2=0

$2x - 3 = 0$

Or,

$x = 1.5$

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$x - 2 = 0$

Or,

$x = 2$

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Hence, roots are 1.5 and 2.

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