Question

divide x+6 with 2/3x^2+5x+6​

Answer 1

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• Alternative Method •

Put the value of x from x + 6 into 2/3x^2+5x+6

x + 6 = 0

x = - 6

Now put this value in equation

$\frac{2}{3} ( { - 6}^{2} ) + 5( - 6) + 6 = 0 \\ \\ \frac{2}{3} \times 36 - 30 + 6 = 0 \\ \\ 24 - 30 + 6 = 0 \\ \\ 0 = 0$

This means x+6 is a factor of 2/3x^2+5x+6