Question

find the sum and product of zeros of polynomial 3 x square minus 3 root 2 X + 1​

Answer 1

Solution :

Compare given Quadratic expression 3x²-3√2x+1 with

ax²+bx+c, we get

a = 3 , b = -3√2 , c = 1

i ) sum of the zeroes

= -b/a

= -(-3√2)/3

= √2

ii) Product of the zeroes =c/a

= 1/3

••••

Answer 2

The sum of zeros of polynomial is $\sqrt{2}$ and the product of zeros of the polynomial is $\frac{1}{3}$

Step-by-step explanation:

Given : Polynomial $3x^2-3\sqrt2x+1$

To find : The sum and product of polynomial ?

Solution :

Comparing polynomial with quadratic equation general form $ax^2+bx+c$

Here, a=3, $b=-3\sqrt2$ and c=1

The sum of zeros of the polynomial is given by,

$\alpha+\beta=-\frac{b}{a}$

$\alpha+\beta=-\frac{-3\sqrt2}{3}$

$\alpha+\beta=\sqrt2$

The product of zeros of the polynomial is given by,

$\alpha\beta=\frac{c}{a}$

$\alpha\beta=\frac{1}{3}$

Therefore, the sum of zeros of polynomial is $\sqrt{2}$ and the product of zeros of the polynomial is $\frac{1}{3}$

#Learn more

Find the qudratic polynomia sum of whose zeroes is o and product is 12. Hence find the zeroes of the polynomial

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