Question

find the zeroes of the quadratic polynomial 2root2x^2 - 9x +5root2 and verify the relationship between the zeroes and the coefficients. ​

Answer 1

Answer: the zeros of the given quadratic polynomial are√2 and 5/2√2.

Step-by-step explanation:

2√2x²-9x+5√2

(Splitting the middle term)

=2√2x²-4x-5x+5√2

=2√2x(x-√2) - 5(x-√2)

=(x-√2)(2√2x-5)

Hence,(x-√2) and (2√2x-5) are the factors of the given quadratic polynomial.

The zeros are:-

x-√2 = 0

x = √2

Therefore, √2 is the first zero of the quadratic polynomial.

2√2x-5 = 0

2√2x = 5

x = 5/2√2

Therefore, 5/2√2 is the second zero of the quadratic polynomial.

So, the two zeros of the quadratic polynomial are √2 and 5/2√2.

Answer 2

Answer:

it's above

Step-by-step explanation:

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