Question

If both x − 2 and $x-\frac{1}{2}$ are factors of px² + 5x + r, then

(a) p = r

(b) p + r = 0

(c) 2p + r = 0

(d) p + 2r = 0

Answer 1

As and are the factors of the polynomial

i.e., and

Now,

And

From equation (i) and (ii), we get

Hence, the correct option is (a).