Question

Solve and
find
ind the value of x

Q-3/4x=6​

Answer 1

Step-by-step explanation:

let f(x)=px

3

+4x

2

−3x+q.

Here x

2

−1=(x+1)(x−1) divides f(x)

∴Atx=1,

f(1)=P(1)

3

+4(1)

2

−3(1)+q=0

⇒P+4−3+q=0.

⇒P+q+1=0

⇒ P = -q-1 ______ (1)

and at x=-1

f(−1)=P(−1)

3

+4(−1)

2

−3(−1)+q=0

⇒−p+4+3+q=0

⇒−(−q−1)+7+q=0 [from (1)]

⇒q+1+7+q=0.

⇒2q=−8

⇒q=−4

∴ from (1)

P =-(-4)-1 = 4-1=3

Hence, P = 3 , q = -4.