Question

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Answer 1

Answer:

31. 3x³+x²-20x+12.

3x-2=0.

3x=2.

x=2/3.

3(2/3)³+(2/3)²-20(2/3)+12.

3(8/27)+(4/9)-20(2/3)+12.

8/9+4/9-40/3+12.

8+4-120+108/9. (Because LCM of 9,9 & 3 is 9).

12-120+108/9.

-108+108/9.

0/9.

0.

33. a) 27x³+125y³.

(3x)³+(5y)³.

By using formula x³+y³=(x+y)(x²-xy+y²) where x=3x & y=5y.

(3x)³+(5y)³=(3x+5y)((3x)²-(3x)(5y)+(5y)²).

=(3x+5y)(9x²-15xy+25y²).

34. (x³+2x²-x-4)÷(x+2).

x+2)x³+2x²-x-4(x²-2

x³+2x²

-x-4

-2x-4

x

Quotient=x²-2 & Remainder=x.

Sorry I understood only these questions.

I think this is your answer.