Question

find the zeros and verify the relation between zeroes and coefficients of 2x^2-3x+1 quadratic polinomial​

Answer 1

Question:

find the zeros and verify the relation between zeroes and coefficients of $2x^2-3x+1$ quadratic polinomial​.

Answer:

Zeros of the Polynomial are $x = 1/2 ,1$

Explanation:

⇒$2x^2-3x+1$

Now factorise the equation

You can get -3x as -2x and -x

⇒$2x^2-x-2x+1$

Now you can remove the factors and make into new equation.

⇒$2x(x-1)-1(x-1)$

⇒$(2x-1)(x-1)$

Now get the value of x or the zeros

⇒$2x-1=0$

⇒$2x=1$

⇒$x=1/2$

⇒$x-1=0$

⇒$x=1$

Hence we got the zeroes of the equation that is $x = 1/2 ,1$

Verify the relations between zeros

⇒ Sum of Zeros are = 1/2 + 1

By taking L.C.M  

⇒1/2+2/2

⇒3/2

⇒Product of Zeros are = 1/2*1

⇒1/2

Hence Proved