Factors of algebraic expressions and factorisation

Q. Question 87 (vii)

Write the greatest common factor in the following terms.

$3x^3{y}^{2}z,-6x{y}^3{z}^2,12x^{2}y{z}^3$

Q.

Substituting $x=-3$ in $\left(x^2\right)-5x$ gives

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Q. Question 87 (ix)

Write the greatest common factor in the following terms.

$13x^{2}y,169xy$

Q. Question 87 (ii)

Write the greatest common factor in the following terms.

$3x^{2}y,18x{y}^2,-6xy$

Q.

The common factor of $a{x}^2+bx$ is _.

Q. Question 87 (iii)

Write the greatest common factor in the following terms.

$2xy,-y^2,2x^{2}y$

Q.

Find the volume of rectangular boxes with the following length, breadth and height respectively

$\left(i\right)(a^2,a^3,a^4)$

$\left(ii\right)(x^2{y}^2,xz,z^4)$ [2 MARKS]

Q.

Complete the following mathematical statement.
5y + 2y + y - 7y =

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Q. Which one of the following is a factor of
$2x^{3}y+4x{y}^2+8xy?$

1. $2xy$
2. $2x^{2}y$
3. 8
4. $4x^3$

Q. Which one of the following is a factor of
$2x^{3}y+4x{y}^2+8xy?$

1. $2xy$
2. $2x^{2}y$
3. 8
4. $4x^3$

Q. Spot the error and correct them in the following mathematical terms:
1)5x+2x+x-7x=0

Q.

Dividend = Divisor $\times$ ___ + Remainder

Q.

Substituting $x=-3$ in $\left(x^2\right)-5x$ gives

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Q. Which of the following are the factors of the expression -8x + 14?

1. $-2$ and $4x+7$
2. $2$ and $4x+7$
3. $2$ and $4x-7$
4. $-2$ and $4x-7$

Q. Which one of the following is a factor of
$2x^{3}y+4x{y}^2+8xy?$

1. $2xy$
2. $2x^{2}y$
3. 8
4. $4x^3$

Q.

Complete the following mathematical statement 5y + 2y + y - 7y =

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