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Attention !!!!!

GENERAL INSTRUCTIONS (Please read the following instructions very carefully)

1. Question marks are mentioned with each Question.

2. Please write neat and clean hand-writing on Answer Sheet. Use Margin on right side and left side of Answer Sheet.

3. Do not refresh or back page.

4. Do not click the button Submit Test before completing the paper on Answer Sheet.

5. This is a ONE TIME attempt test. Once started, it cannot be reversed or attempted again.

6. Take photo of all the Sheets and make single pdf file.

All the best :-)

Total Questions : 20

Total questions : 20	Time allotted : 20 Minutes	Start Time: 16 Dec, 2025 09:44 AM	End Time: 16 Dec, 2025 10:04 AM

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Q.1 Identify the factors of $3 a^{4}$
A. $3 times a^{2} times a ^{2}$	B. $3 times a^{4}$	C. $3 times atimes a times a ^{2}$	D. $3 times atimes a times a times a$
Reset Mark for Review Next 00:00

Q.2 Find the greatest common factor of the following polynomials: $large dpi{100} fn_phv 15a^3,-45a^2,-150a$
A. 16a	B. 15a	C. 14a	D. 56a
Previous Reset Mark for Review Next 00:00

Q.3 The factors of $x^{2}+xy-2xz-2yz$ are:
A. $(x-y)(x+2z)$	B. $(x+y)(x-2z)$	C. $(x-y)(x-2z)$	D. $(x+y)(x+2z)$
Previous Reset Mark for Review Next 00:00

Q.4 Which of the followimg expression is a factor of $large 14x^3+28x$ ?
A. $large x^2+4$	B. $large x^2+3$	C. $large x^2+1$	D. $large dpi{120}x^2+2$
Previous Reset Mark for Review Next 00:00

Q.5 Which of the following expression is a factor of $large 49x^2-196$ ?
A. 8x+14	B. 6x+14	C. 7x+14	D. None of the above
Previous Reset Mark for Review Next 00:00

Q.6 Factorize using identities : $-16x^{2}+64x^{4}$
A. $(1+8x^{2})^{2}$	B. $(8x^{2}-4x)(8x^{2}+4x)$	C. $(1-8x^{2})^2$	D. $(8x^{2}-4x)(8x^{2}+2x)$
Previous Reset Mark for Review Next 00:00

Q.7 Express the following as the product of two factors: $large 4x^2+12x+9$
A. (2x+3)(2x-3)	B. (2x-3)(2x-3)	C. (2x+3)(2x+3)	D. (2x-3)(2x+3)
Previous Reset Mark for Review Next 00:00

Q.8 One of the factor of the polynomial $large 2x^2+9x-5$ is 2x-1. The other factor is:
A. x-5	B. x+5	C. x+7	D. x+4
Previous Reset Mark for Review Next 00:00

Q.9 Express the expression into factors $3m + 15$
A. $3(m+5)$	B. $= 3(3 m+5)$	C. $(3m+5)$	D. none of these
Previous Reset Mark for Review Next 00:00

Q.10 Factorise: $large dpi{110} 5x+3y+10x^2+6yx$
A. (1+2x)(5x+3y)	B. (1+3x)(4x+5y)	C. (1+4x)(5x+2y)	D. (1+3x)(4x+5y)
Previous Reset Mark for Review Next 00:00

Q.11 Factorise: $large ;x^{4}+10x^{2}y^{2}+25y^{4}$
A. $large (x^{2}-5y^{2})(x^{2}-y^{2})$		B. $large (x^{2}-y^{2})(x^{2}-5y^{2})$
C. $large (x^{3}-5y^{2})(x^{2}-5y^{2})$		D. $large dpi{100} fn_jvn (x^{2}-5y^{2})(x^{2}-5y^{2})$
Previous Reset Mark for Review Next 00:00

Q.12 Which of the following is an algebraic idenriry?
A. $(a-b)^2=a^2+2ab-b^2)$	B. $(a-b)^2=a^2-2ab-b^2$	C. $(a-b)^2=a^2-b^2$	D. $(a-b)^2=a^2-2ab+b^2$
Previous Reset Mark for Review Next 00:00

Q.13 Factorise the following expression: $p^2 - 10p + 25$
A. p - 25, p - 1	B. p - 5, p + 5	C. p - 5, p - 5	D. p - 10, p - 15
Previous Reset Mark for Review Next 00:00

Q.14 Factorize: $x^2+11x+30$
A. (x+5)(x+5)	B. (x+6)(x+5)	C. (x+9)(x+6)	D. (x+4)(x+6)
Previous Reset Mark for Review Next 00:00

Q.15 Find the greatest common factor of the following polynomials: $large dpi{100} fn_phv 14x^3y^5,10x^5y^3,2x^2y^2$
A. $3x^2y^2$	B. $5x^2y^2$	C. $7x^2y^2$	D. $2x^2y^2$
Previous Reset Mark for Review Next 00:00

Q.16 The real factors of $x^{2}+4$ are:
A. $(x^{2}+2)(x^{2}-2)$	B. $(x+2)(x-2)$	C. does not exist	D. none of these
Previous Reset Mark for Review Next 00:00

Q.17 The expression $x^4+4$ can be factorized as
A. $(x^2+2x+2)(x^2-2x+2)$		B. $(x^2+2x+2)(x^2+2x-2)$
C. $(x^2-2x-2)(x^2-2x+2)$		D. $(x^2+2)(x^2-2)$
Previous Reset Mark for Review Next 00:00

Q.18 Express the following as the product of two factors: $large 75x^2-60x+12$
A. 3(5x-2)(5x-2)	B. 3(5x+2)(5x+2)	C. 3(5x+2)(5x-2)	D. 3(5x+4)(5x+4)
Previous Reset Mark for Review Next 00:00

Q.19 The factors of $3m^2+9m+6$ are not equal to
A. $3(m+1)(m+2)$
B. $(3m+3)(m+2)$
C. $(3m+6)(m+1)$
D. $(3m-1)(3m-2)$
Previous Reset Mark for Review Next 00:00

Q.20 Factorize: $x^2+14x+33$
A. (x+21)(x+2)	B. (x+11)(x+3)	C. (x+7)(x+6)	D. (x+5)(x+6)
Previous Reset Mark for Review 00:00

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