Question

If (x – a) is a factor of the polynomials x2

+ px – q and x2

+ rx – t, then a = ?​

Answer 1

Answer:

a = q - p

a = t - r

Step-by-step explanation:

x - a = 0

x = a

Putting x = a in the given equation,

p (x) = x2 + px - q

p (a) = a2 + pa - q = 0

a2 = q - pa

a2/a = q - p

a = q - p

p(x) = x2 + rx - t

p(a) = a2 + ra -t = 0

a2 = t - ra

a2/a = t - r

a = t - r

So, we get,

a = q - p

a = t - r