Question

quadric polynomial spiliting
$8x { }^{2} + 40x + 42$
middle term​

Answer 1

$8{x}^{2} + 40x + 42 = 0 \\ \\ 4 {x}^{2} + 20x + 21 = 0 \\ \\ 4x {}^{2} + 14x + 6x + 21 = 0 \\ \\ 2x \: (2x + 7) + 3 \: (2x + 7) = 0 \\ \\ (2x + 3)(2x + 7) = 0 \\ \\ \\ \\ 2x + 3 = 0 \\ \\ 2x = - 3 \\ \\ x = - \frac{3}{2} \\ \\ \\ \\ 2x + 7 = 0 \\ \\ 2x = - 7 \\ \\ x = - \frac{7}{2}$

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