Question

Find the sum and product of zeros of quadratic polynomial 3x^2 -7x +5

Answer 1

Answer :

• Sum of zeros = 7/3

• Product of zeros = 5/3

Note:

★ The possible values of the variable for which the polynomial becomes zero are called its zeros .

★ A quadratic polynomial can have atmost two zeros .

★ The general form of a quadratic polynomial is given as ; ax² + bx + c .

★ If α and ß are the zeros of the quadratic polynomial ax² + bx + c , then ;

• Sum of zeros , (α + ß) = -b/a

• Product of zeros , (αß) = c/a

Solution :

Here ,

The given quadratic polynomial is ;

3x² - 7x + 5 .

Now ,

Comparing the given quadratic polynomial with the general quadratic polynomial ax² + bx + c , we have ;

a = 3

b = -7

c = 5

Hence ,

• Sum of zeros = -b/a = -(-7)/3 = 7/3

• Product of zeros = c/a = 5/3

Answer 2

Answer:

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