Question

Find the sum and product of the zeroes of the polynomial x^2-4x+3

Answer 1

AnsWer :

• Sum of Zeros be 4
• Product of Zeros be 3.

Solution :

We have, Equation.

=> x² - 4x + 3.

=> x² - 3x - x + 3.

=> x( x - 3 ) - 1 ( x - 3 )

=> ( x - 1 ) ( x - 3 )

$\rule{90}1$

Either,

=> x - 1 = 0.

=> x = 1.

$\rule{90}1$

Or,

=> x - 3 = 0.

=> x = 3.

Let,

• A = 3.
• B = 1.

$\rule{90}1$

Sum of Zeros,

=> A + B = -b/a

=> 3 + 1 = -( - 4 )/1

=> 4 = 4.

$\rule{90}1$

Product of Zeros,

=> A * B = c/a

=> 3 * 1 = 3/1

=> 3 = 3.

Therefore, the sum of zeros be 4. and product of zeros be 3.