Question

If alpha and beta are the zeros of the polynomial 3x²-12x+15 then find the value of beta /alpha + alpha /beta

Answer 1

Answer:

α/ß + ß/α = 6/5

For explaination , please refer to the attachment .

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 .

★ 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