Question

1.
The product and the sum of zero es of
the polynomial 2x²- 2 √2x+1 are respectively.​

Answer 1

Answer:

product=1/2

sum=1/2

Step-by-step explanation:

kinda lazy so not gonna write the steps just find the roots and multiply and add em

Answer 2

The sum and product of zeros of the polynomial 2x²- 2 √2x+1 = 0 are √2 and 1/2 respectively.​

Given:

The quadratic equation 2x²- 2√2x + 1.

To Find:

The product and the sum of zeros of the given polynomial.

Solution:

A quadratic is a polynomial equation of degree 2, having the general form ax² + bx + c = 0.

The zero of a polynomial p(x) is the value of 'x' for which p(x) = 0.

Now for a quadratic equation ax² + bx + c = 0,

The sum of zeroes = -(coefficient of x)/(coefficient of x²) = -b/a

The product of zeroes = (the constant term)/(coefficient of x²) = c/a

In the equation 2x²- 2√2x + 1 = 0,

a = the coefficient of x² = 2

b = the coefficient of x = 2√2

c = the constant term = 1

∴ The sum of zeroes = -b/a = - (-2√2)/2 = √2.

The product of zeroes = c/a = 1/2.

Hence, the sum and product of zeros of the polynomial 2x²- 2 √2x+1 =0 are √2 and 1/2 respectively.​

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