5.If p and q are the zeros of p(x)=ax²+bx+c,a is not equal to 0 then (p+q) is equal to
1 point
a)-b/a
b)c/a
c)-a/b
d)a/c
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Answered by
1
!! Hey Mate !!
Your answer is --
Given, p and q are the zeroes of given polynomial p(x)= ax^2+bx+c.
So, (x-p) & (x-q) are the factor of p(x)
therefore,
ax^2+bx+ c = k (x-p)(x-q) for some constant k
=> ax^2+bx+c = k(x^2-qx-px+pq)
=> ax^2 + bx + c = kx^2 -x(p+q)k + pqk
Now, comparing both side , we get
k = a , b = -(p+q)k & c = pqk
Now, take b = -(p+q)k
=> -(p+q) = b/k
=> -(p+q) = b/a { since , k = a }
=>[ p+q = - b/a ]
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【 Hope it helps you 】
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Step-by-step explanation:
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