Question

Show that 1/2 and -3/2 are the zeroes of the polynomial 4x^2+4x-3 and verify the relationship between zeroes and coefficients of polynomial​

Answer 1

Step-by-step explanation:

$4 {x}^{2} + 4x - 3 \\ x = \frac{1}{2} \\ 4 {( \frac{1}{2} )}^{2} + 4( \frac{1}{2} ) - 3 = 0 \\ 4( \frac{1}{4} ) + \frac{4}{2} - 3 = 0 \\ 1 + 2 - 3 = 0 \\ 3 - 3 = 0 \\ 0 = 0 \\ \\ x = - \frac{3}{2} \\ 4 {( - \frac{3}{2} )}^{2} + 4( - \frac{3}{2} ) - 3 = 0 \\ 4( \frac{9}{4} ) - 6 - 3 = 0 \\ 9 - 6 - 3 = 0 \\ 9 - 9 = 0 \\ 0 = 0$

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