Question

Let g(x) = 3x²+ 4x + 7 find alfa beta if
alfa and beta are the zeroes of g(x).​

Answer 1

Given polynomial

$3 {x}^{2} + 4x + 7 = 0$

and it's zeros

$\alpha \: \: and \: \: \beta$

$now \:$

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$3 {x}^{2} + 4x + 7 = 0$

$3 {x}^{2} + 7x - 3x + 7 = 0$

$3x(x -7) - 1(3x - 7) = 0$

$(3x - 1)(3x - 7)$

so

$\alpha = 1\3 \\ nd \: \beta = 7 \3$