Question

If (X+3) and (x-4) are factors of x3 + ax2 - bx + 24, find the values of a and b. With these
values of a and b, factorise the given Polynomial Completely.
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Answer 1

Step-by-step explanation:

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Answer 2

Answer:

X-4=0

=> x=4

f(x)=x³+ax²+2bx-24

f(4)=4³+a.4²+2.b.4-24=0

=>64+16a+8b=24

=> 16a+8b=24-64

=> 2a+1b=3-8

=> 2a+b=-5.........(i)

a-b=8..........(ii)

Solving eq.(i) & (ii)

2a+b=-5

a-b=8

_________

3a=3

=>a=1

Substituting the value of a in eq.(ii)

1-b=8

=>b=-7

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