If x2 - 3x + 2 is a factor of x4 - ax2 + b, then find a and b

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 Multiple Choice QuestionsShort Answer Type

311. Find the value of ‘a’ if (x - a) is a factor of x5 - a2x3 + 2x + a + 3, hence factorise x2- 2ar -3.
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312.  If x - 2y = 11 and xy = 8, find the value of x3 - 8y3
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313. If x + 2y = 8 and xy = 6, find the value of x3 + 8y3
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314.

If straight x plus 1 over straight x equals 3 comma then the value straight x squared plus 1 over straight x squared.

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315. Factorise: (x2 - 2x)2 - 11 (x2 - 2x) + 24
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316.

If straight x plus 1 over straight x equals 5 comma then the value straight x to the power of 6 plus 1 over straight x to the power of 6.

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317.

Prove that 2x3 + 2y3 + 2z3 - 6xyz
= (x + y + z) [(x - y)2 + (y - z)2 + (z - x)2].

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318.

If x2 - 3x + 2 is a factor of x4 - ax2 + b, then find a and b.


Solution not provided.

Ans.  a = 5, b = 4

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319.

The volume of a cube is given by the polynomial
p(x) = 8x3 - 36x2 + 54x - 27

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320.

Using factor theorem, factorise the polynomial:
x4 + 3x3 + 2x2 - 3x - 3.

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