Is it possible to factor $y = 3 x^{2} - 10 x - 14$ $y=3x^2-10x-14$ ? If so, what are the factors?

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Answer 1 · 2018-03-09T04:05:44

No

Standard form of equation $y = a x^{2} + b x + c$ $y = ax^2 + bx + c$

$y = 3 x^{2} - 10 x - 14$ $y = 3x^2 - 10x - 14$

$a c = 3 \cdot - 14 = - 42 = - 3 \cdot 7 \cdot 2$ $ac = 3 * -14 = - 42 = - 3 * 7 * 2$

$- 14 + 3 = - 11, - 7 + 6 = - 1, - 21 + 2 = - 19$ $-14 + 3 = -11, -7 + 6 = -1, -21 + 2 = -19$

As combination factors do not add upto-10, it’s not possible to find the factors.

Is it possible to factor y=3x2−10x−14y=3x^2-10x-14 ? If so, what are the factors?