if p and q are the zeros of the quadratic polynomial p(x)= 4x^2-5x-1, find the value of p^2q+pq^2​

2 thoughts on “if p and q are the zeros of the quadratic polynomial p(x)= 4x^2-5x-1, find the value of p^2q+pq^2​”

1. Step-by-step explanation:

   Given :–

   p and q are the zeros of the quadratic polynomial p(x)= 4x^2-5x-1

   To find :–

   Find the value of p^2q+pq^2 ?

   Solution :–

   Given quardratic polynomial P(x)=4x^2-5x-1

   On Comparing this with the standard quadratic Polynomial ax^2+bx+c

   We have

   a = 4

   b = -5

   c = -1

   Given that

   p and q are the zeores of P(x)

   We know that

   The sum of the zeroes = -b/a

   =>p+q = -(-5)/4

   => p+q = 5/4 ——-(1)

   and

   The product of the zeroes = c/a

   => p×q = -1/4

   => pq = -1/4 ——–(2)

   Now

   p^2q + pq^2

   => pq(p+q)

   From (1)&(2) then

   => (-1/4)(5/4)

   => (-1×5)/(4×4)

   => -5/16

   Answer:–

   The value of p^2q + pq^2 for the given problem is –5/16

   Used formulae:–

   • The standard quadratic Polynomial is ax^2+bx+c.

   • Sum of the zeores = -b/a

   • The product of the zeroes = c/a

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2. Answer:

   sorry bro I don’t know

   you are in which class

   Reply