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Factors of Algebraic Expressions and Factorisation

41. What is t...

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41. What is the HCF of the polynomials (x square-4x+4)(x+3) and (x square+2x-3)(x-2)

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H C F

of the pair of polynomials using equations:

x^{3} - 3 x^{2} + 4 x - 12, x^{4} + x^{3} + 4 x^{2} + 4 x

Q. The HCF of two polynomials

4 x^{2} (x^{2} - 3 x + 2) a n d 12 x (x - 2) (x^{2} - 4)

is 4x(x - 2) The LCM of the two polynomials is

f (x) = 2 x^{3} + 6 x^{2} + 4 x

g (x) = x^{2} + 3 x + 2

The polynomials

f (x)

g (x)

are defined above. Which of the following polynomials is divisible by

2 x + 3

Q. The value of a polynomial

f (x) = 4 x^{3} + 3 x^{2} + 2 x + x

x = 3

Q. Find the GCD of the following pairs of polynomials

x^{3} - 3 x^{2} + 4 x - 12, x^{4} + x^{3} + 4 x^{2} + 4 x

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Factors of Algebraic Expressions and Factorisation

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