Math, asked by kidambisrikanth, 1 year ago

if p and q are the zeroes of the quadratic polynomial x^2 -5x +4 .Find the value of p^2 q+ q^2 +p

Answers

Answered by Adityaadidangi
10
if p and q are roots of
=> x²-5x+4 = 0
=> (x-4)(x-1) = 0

then
p+q = 5
and
pq = 4

for
=> p²q + q²p
= pq(p+q)
= 4×5
= 20

hope it helps you
@di

Adityaadidangi: p²q+q²p is the question
kidambisrikanth: p square q +q square p is the question
kidambisrikanth: is the answer correct
Adityaadidangi: answer is correct
kidambisrikanth: what if p and q are the roots
kidambisrikanth: then what will be the answer
Adityaadidangi: roots and zeroes are used for same
kidambisrikanth: bro plz tell me last time
kidambisrikanth: is the answer correct
Adityaadidangi: yes
Answered by Bhagyavanti
5

Answer:

Step-by-step explanation:

In the quadratic polynomial x^2-5x+4which is in the form of ax^2+bx+c.,

a=5 , b=(-5), c=4

p & q are zeros

:. p+q=c÷a=4÷1=4

P×q= -b÷a=-(-5)÷1=5

We have,

p^2q+q^2p

=pq(p+q)

=5(4)

=20

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