The factors of polynomial x3- 6x2 + 11x - 6 are from Mathematics

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 Multiple Choice QuestionsMultiple Choice Questions

1.

If 574×57-3=575x-2 ,then x is equal to

  • 25

  • 35

  • 45

  • 15


2.

Find the square root of(272)2- (128)2.

  • 200

  • 240

  • 256

  • 144


3.

The polynomial ax3 + bx2 + x - 6 has (x+ 2) as a factor and leaves remainder 4 when divided by (x-2) Find the value of a and b.

  • a=2,b=0

  • a=1,b=1

  • a=0,b=2

  • a=7,b=5


4.

A non-terminating but recurring decimal is

  • an integer

  • a natural number

  • a rational number

  • an irrational number


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5.

If 0 < x < l, then it is true that

  • x100 > x101

  • x100 > 1

  • x100 < x101

  • x101> 1


6.

The smallest number, which multiply to 33275 to get a perfect cube, is

  • 3

  • 5

  • 2

  • 6


7.

If HCF of (p2- 8p + 12) and (p2 + 4p -12) is (p-a), then the value of a is

  • -6

  • 2

  • -2

  • 6


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8.

The factors of polynomial x3- 6x2 + 11x - 6 are

  • (x+1)(x+2)(x-3)

  • (x-1)(x+2)(x-3)

  • (x-1)(x-2)(x-3)

  • (x-1)(x-2)(x+3)


C.

(x-1)(x-2)(x-3)

Putting x =1 in polynomial

x3-6x2+11x-6,

f(1)=0

(1)3-6(1)2+11x1-6=0

1-6+11-6=0

12-12=0

0=0

Hence, x - l is a factor of polynomial x3-6x2+11x-6.
Now,

therefore(x-1)(x-5x+ 6)

=(x -1 )(x2- 3x - 2x + 6)

=(x -l)[x(x - 3)- 2(x - 3)]

=(x -l)(x -2)(x -3)


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9.

If 32x+1-3x=32 , then the values of x are

  • 1,-2

  • -1,-2

  • 0,1

  • 2,-1


10.

If a, a + 2, a + 4 are prime numbers, then the number of values of a is

  • One

  • two

  • three

  • more than three


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