Question

If one of the zeroes of the quadratic polynomial (p – l)x² + px + 1 is -3, thenthe value of p is

Answer 1

Answer:

x

2

+px+q=0 ---- (1)

x

2

+qx+p=0 ---- (2)

By applying mathematical generality

x=1 is one of the roots,

From which both equations, we get

1+p+q=0

from equation 1

products of roots =q

Hence, roots of first equation x=1 and x=q

Similarly, for equation (2)

x=1 and x=p

the equation having roots p and q is

x

2

−(p+q)x+pq=0

On substituting the values

x

2

+x+pq=0

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