Factorizing a Term

Q.

Factorise the expression and divide them as directed: $\left(y^2+7y+10\right)÷\left(y+5\right)$

Q.

Factorize: $6ab-b^2+12ac-2bc$

Q.

Factorise: $x^4+x^2+1$

Q.

Factorize the following expression: $-16z+20z^3$

Q.

How do you Define a Composite Function?

Q.

Factor out the coefficient of the variable term.

$4x-20$

Q.

How do you write $140$ as the product of its prime factors?

Q.

Factor out the coefficient of the variable term.

$6n-24$

Q.

Factor out the coefficient of the variable term.

$-6x-18$

Q.

Factorise $x^3-1$

Q. The common factor in the expression $18x^2-36x^4+72x^6$ would be

1. $18$
2. $18x$
3. $18x^2$

Q. Prime factorization of 18 would be

1. $6\times 3$
2. $3\times 2\times 3$
3. $9\times 2$

Q.

Write the factorisation of

$-12cd$

Q. The rectangle below has an area of $32x^3$ square meters and a length of $4x^2$ square meters.


What is the width of the rectangle?

1. $4x$
2. $4x^2$
3. $x^4$
4. $2x^2$

Q. Which of the following is the irreducible factor form of 28xy?

1. $28\times 1\times x\times y$
2. $7\times 4\times x\times y$
3. $14\times 2\times x\times y$
4. $7\times 2\times 2\times x\times y$

Q. Match the following expressions with their respective common factors.

1. $1$
2. $5x^2$
3. $9y$
4. $6z^2$

Q. The common factor in the expression $9x+16y$ would be $1$.

1. Yes
2. No

Q. Tap the bubble containing expressions with no common factor other than $1$.

1. $5x+15y$
   
2. $2x+6y$
   
3. $14a+16b$
4. $5c+36d$
5. $9x+71y$
   
6. $10y+61z$
   
7. $29w+729v$
8. $25g+784h$
   

Q. Find the missing factor $A$ that makes the following equality true.
$18x^5=\left(A\right)\left(6x\right)$

1. $3x^5$
2. $3x^4$
3. $3x^3$
4. $4x^3$

Q. Total number of factors when $15x^2$ is completely factored is .

Q. If the factorization of the term $12x^2$ is $T\cdot 4x^2,$ then the value of $T$ is

Q. Which of the following is(are) possible factorization(s) of $10x^3?$

1. $2\cdot 5\cdot x\cdot x^2$
2. $10\cdot x\cdot x^2$
3. $2\cdot 5\cdot x\cdot x\cdot x$
4. $2\cdot 5\cdot x^3$

Q.

Factor out the coefficient of the variable term.

$-\frac{2}{5}w+\frac{4}{5}$

Q. Which of the following is the complete factorization of $14x^3?$

1. $2\cdot 7\cdot x\cdot x$
2. $2\cdot 7\cdot x\cdot x^2$
3. $2\cdot 7\cdot x\cdot x\cdot x$
4. $14\cdot x\cdot x\cdot x$

Q.

Factorise $x^3-3x^2+x-3$

Q. Which of the following is(are) possible factorization(s) of $6x^3?$

1. $6\cdot x^3$
2. $6x\cdot x^2$
3. $6\cdot x\cdot x\cdot x$
4. $2\cdot 3\cdot x\cdot x\cdot x$

Q. Prime factorization of 24 would be $4\times 6$.

1. True
2. False