Question

- If p and q are the zeroes of the quadratic polynomial a x2 + bx + cla #0), find the value of
pq + (p+q)​

Answer 1

$\huge\mathbb\color{purple}{AN}\purple{SW}\pink{ER}\color{pink}{:}$

If p and q are the zeroes of the quadratic polynomial

$\green{a {x}^{2} + bx + c}$

So,

$\pink{p + q = - \frac{b}{a} } \: \: \: \: and \\ \pink{pq = \frac{c}{a} }$

Now,

$pq + (p + q) \\ = \frac{c}{a} + ( - \frac{b}{a} ) \\ = \frac{c}{a} - \frac{b}{a} \\ = \frac{c - b}{a} \\ = \huge\red{answer}$

Answer 2

c-b/a

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