Question

sum
and
Product
the
Zerous
respectively of
polynomial
of
x² - 4x + 3​

Answer 1

Given :

• A quadratic polynomial x² - 4 x + 3

To find :

• sum and product of zeroes of given polynomial

Knowledge required :

In a quadratic polynomial of the form

a x² + b x + c

• sum of zeroes = - coefficient of x / coefficient of x² = -b / a
• product of zeroes = constant term/ coefficient of x² = c / a

Solution :

Comparing given polynomial x² - 4 x + 3 with a x² + b x + c

we will get,

• a = 1
• b = -4
• c = 3

so,

→ sum of zeroes = - b / a

→ sum of zeroes = - ( - 4 ) / ( 1 )

→ sum of zeroes = 4 / 1

→ sum of zeroes = 4

and,

→ product of zeroes = c / a

→ product of zeroes = 3 / 1

→ product of zeroes = 3

therefore,

• Sum and product of zeroes of polynomial x² - 4 x + 3  is 4 and 3 respectively .