1.

find the zeroes of the quadratic polynomial x²+4x-12 and verify relationship between the zeroes and the coefficient​

Answer»

EXPLANATION.

→ Zeroes of the QUADRATIC POLYNOMIAL

x² + 4X - 12.

→ Verify relationship between the zeroes and

coefficient.

→ Factories into middle term split.

→ x² + 4x - 12 = 0

→ x² + 6x - 2x - 12 = 0

→ x(x + 6 ) - 2 ( x + 6 ) = 0

→ ( x - 2 ) ( x + 6 ) = 0

→ x = 2 and x = -6

→ Sum = 2 + (-6) = -4.

→ Products = 2(-6) = -12.

→ Verify the relationship.

→ sum of zeroes of quadratic equation.

→ a + B = -b/a

→ a + b = -4

→ products of zeroes of quadratic equation.

→ ab = c/a

→ ab = -12

→ Hence proved.


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