Question

find zero following quadratic and verify the relationship between zero and Coefficient 2 x^2 - 9 - 3x​

Answer 1

Answer:

The zeroes are 3,-3/2

Step-by-step explanation:

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Answer 2

$= 2 {x}^{2} - 3x - 9 \\ = 2 {x}^{2} - 6x + 3 - 9 \\ = 2x(x - 3) + 3(x - 3) \\ = (2x + 3)(x - 3)$

the zeros of the polynomial are 3 and -3/2

sum of the zeros

= -b/a

= (3-3/2)/2

= (6-3/2)/2

= (3/2)/2

= 3

product of the zeros

= c/a

$= 3 \times \frac{ - 3}{2} \times 2 \\ = \frac{ - 9}{2} \times 2 \\ = - 9$

hence , this is the relation between the zeros of the quadratic polynomial.