Question

If α and β are zeroes of a polynomial 2x^2 - 7x + 3 find the value of α and β

Answer 1

Step-by-step explanation:

The first term is,  2x2  its coefficient is  2 .

The middle term is,  -7x  its coefficient is  -7 .

The last term, "the constant", is  +3 

Step-1 : Multiply the coefficient of the first term by the constant   2 • 3 = 6 

Step-2 : Find two factors of  6  whose sum equals the coefficient of the middle term, which is   -7 .

     -6   +   -1   =   -7   That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -6  and  -1 

         

            2x^2 - 6x - 1x - 3 = 0.

2x(x-3) -1(x-3).

(2x-1)(x-3)

x= 1/2 or x= 3