Question

if p and q are the zeroes of the quadratic polynomials 2x^3+3x+5find value of 1/p+1/​

Answer 1

Answer:

1/p + 1/q = -3/5

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 A and B are the zeros of the given quadratic polynomial ax² + bx + c , then ;

• Sum of zeros , (A+B) = -b/a

• Product of zeros , (A•B) = c/a

Solution:

Here,

The given quadratic polynomial is :

2x² + 3x + 5

Clearly ,

a = 2

b = 3

c = 5

Also,

It is given that , p and q are the zeros of the given quadratic polynomial .

Thus,

The sum of zeros of the given quadratic polynomial will be ;

=> p + q = -b/a

=> p + q = -3/2 --------(1)

Also,

The product of zeros of the given quadratic polynomial will be ;

=> pq = c/a

=> pq = 5/2 -----------(2)

Now,

1/p + 1/q = (q + p)/pq

= (p + q)/pq { using eq-(1) , (2) }

= (-3/2)×(5/2)

= (-3/2)×(2/5)

= -3/5

Hence,

The required answer is (-3/5).

Answer 2

Answer:

Actually....the question is wrong here....

Bcoz u said it's a quadratic polynomial and given p(x)= 2x³+3x+5

Here the degree is 3 and it's a cubic polynomial..

So ur question is wrong

And if it's p(x) = 2x²+3x+5

Then refer to the attachment....