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# Class 9 Math Factorization

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Class 9Class 10First YearSecond Year

$1. Factorize the following:(viii) \frac{x^{6}}{27}+\frac{8}{x^{3}}$

Factorize each of the following cubic polynomials by factor theorem.1. x^{3}-2 x^{2}-x+2

$Factorize each of the following cubic polynomials by factor theorem.1. x^{3}-2 x^{2}-x+2$

Tick (\checkmark) the correct answers(ii) Factors of a^{2}+2 a b+b^{2}-c^{2} is:(a) (a-b+c)(x-b-c) (b) \left(a_{+} b_{+} c\right)(a-b-c) (c) \left(a_{+} b_{+} c\right)\left(a_{+} b-c\right) (d) \left(a_{+} b_{+} c\right)(a-b-c)

$Tick (\checkmark) the correct answers(ii) Factors of a^{2}+2 a b+b^{2}-c^{2} is:(a) (a-b+c)(x-b-c) (b) \left(a_{+} b_{+} c\right)(a-b-c) (c) \left(a_{+} b_{+} c\right)\left(a_{+} b-c\right) (d) \left(a_{+} b_{+} c\right)(a-b-c)$

1. Find the remainder by using the remainder theorem when(iii) x^{3}-x^{2}-26+40 is divided by (x-2)

$1. Find the remainder by using the remainder theorem when(iii) x^{3}-x^{2}-26+40 is divided by (x-2)$

2(i) If (x+2) is a factor of 3 x^{2}-4 k x-4 k^{2} then find the value(s) of k .

$2(i) If (x+2) is a factor of 3 x^{2}-4 k x-4 k^{2} then find the value(s) of k .$