Question

202 +50 tblesse
os
о a
polynomial
find dtp.L.B.​

Answer 1

Answer :

• α + ß = -5/2

• αß = 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 ;

2x² + 5x + 6 .

Now ,

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

a = 2

b = 5

c = 6

We know that ,

=> Sum of zeros = -b/a

=> α + ß = -5/2

Also ,

=> Product of zeros = c/a

=> αß = 6/2 = 3

Hence ,

• α + ß = -5/2

• αß = 3