Question

find the sum of the zeros of the quadratic polynomial 3 x square - 5 x + 2!! please help! board exam on Tuesday !​

Answer 1

Answer:

Sum 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

★ If α and ß are the zeros of a quadratic polynomial , then that quadratic polynomial is given as : k•[ x² - (α + ß)x + αß ] , k ≠ 0.

★ The discriminant , D of the quadratic polynomial ax² + bx + c is given by ;

D = b² - 4ac

★ If D = 0 , then the zeros are real and equal .

★ If D > 0 , then the zeros are real and distinct .

★ If D < 0 , then the zeros are unreal (imaginary) .

Solution:

Here ,

The given quadratic polynomial is ;

3x² - 5x + 2 .

On comparing with the general quadratic equation ax² + bx + c , we get ;

a = 3

b = -5

c = 2

We know that ,

=> Sum of zeros = -b/a

=> Sum of zeros = -(-5)/3

=> Sum of zeros = 5/3

Hence ,

Required answer is 5/3 .

Answer 2

Answer:

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