Question

The factors of x² -5x+6 are
(x-2)( x-P)
then the value of
P is​

Answer 1

Answer:

MATHS

If the HCF of x2+x−12 and 2x2−kx−9 is x−k, find the value of k.

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ANSWER

Let p(x)=x2+x−12 and q(x)=2x2−kx−9

Suppose, h(x)=(x−k) be HCF of p(x) and q(x)

Now, p(x)=x2+x−12

                  =x2+4x−3x−12

                  =x(x+4)−3(x+4)

                  =(x+4)(x−3)

So, either k=−4 or k=3 ...... (i)

Since, (x−k) is HCF

∴q(x)=(x−k)g(x) for some factor g(x) of q(x)

Take x=k

⟹2(k)2−k×k−9=0

⟹2k2−k2−9=0

⟹k2=9⟹k=±3

From 

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