Question

Find the zeroes of the quadratic polynomial
2x^2+ 5x+2 and verify the relationship
between the zeroes and their coefficient​

Answer 1

1. 3x2 + 5x - 2

3x2 + (6-1)x - 2

3x2 + 6x - x - 2

3x(x-2) + 1(x-2)

(3x+1) (x-2)

x = 2, -1/3

2. x2 - x - 6

x2 - (3-2)x - 6

x2 - 3x + 2x - 6

x(x - 3) + 2(x-3)

(x+2) (x-3)

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