Question

If 2x3 - 5x2 + x + 2 = (x - 2) (ax2 - bx - 1), then a & bare respectively
Options
0 2,1
0 2,-1
O 1,2
0-1, 1/2
7
q​

Answer 1

Answer:

2x

3

−5x

2

+x+2=(x−2)(ax

2

−bx−1)

Using coefficient equating approach,

⟹2x

3

−5x

2

+x+2=ax

3

−2ax

2

−bx

2

−2bx−x+2

⟹2x

3

−5x

2

+x+2=ax

3

−(b+2a)x

2

+(2b−1)x+2

Equating terms of both sides,

a=2,2a+b=5,b=1

a=2,b=1 Ans

Step-by-step explanation:

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