Question

Find product of zeros of polynomials 2xsquare -3x-14

Answer 1

$2 {x}^{2} - 3x - 14 = 0 \\ 2 {x}^{2} - 7x + 4x - 14 = 0 \\ 2x(x -7 ) + 2(x - 7) = 0 \\ (x - 7)(2x + 2) = 0 \\ x - 7 = 0 \: or \: 2x + 2 = 0 \\ x = 7 \: or \: x = - 1$

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Answer 2

$2 {x}^{2} - 3x - 14 \\ 2 {x}^{2} + 4x - 7x - 14 \\ \bold{(By \: middle \: term \: splitt)} \\ 2x(x + 2) - 7(x + 2) \\ (2x - 7)(x + 2) \\ \\ \bold{Zeroes \: are - } \\ 2x - 7 = 0 \: \: \: \bold{and} \: \: \: x + 2 = 0 \\ \fbox \bold{x = \frac{7}{2} \: \: \: and \: \: \: x = - 2}$