Question

Find the zeros of the following quadratic polynomials and verify the relationship between the zeros and the coefficient 2 x square - 7 x + 3

Answer 1

Step-by-step explanation:

2x²-7x+3

2x²-6x-1x+3

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

(2x-1)(x-3)

Alpha = 1/2

beta = 3

let's verify the relationship between zeroes and the coefficient.

alpha + beta = -b/a

1/2 + 3 = -(-7)/2

1+6/2 = 7/2

7/2 = 7/2

alpha* beta = c/a

1/2*3 = 3/2

3/2 = 3/2

hence verified.

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