Factorising Expressions: Highest Common Factor and Ladder Method

Factorising Expressions: Highest Common Factor and Ladder Method

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains factorization as the inverse of expanding brackets, focusing on two methods: the Highest Common Factor (HCF) method and the Ladder method. The HCF method involves identifying the largest number and common variables in an expression to factorize it. The Ladder method simplifies expressions by dividing in stages. Both methods are demonstrated with examples, highlighting the process of breaking down expressions into simpler components.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the process of factorization described as in the video?

The same as expanding brackets

The inverse of expanding brackets

A way to multiply expressions

A method to simplify expressions

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the highest common factor method, what is the first step?

Identify the smallest number in the expression

Multiply all terms by a common factor

Add all terms together

Identify the largest number that divides all terms

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When using the highest common factor method, why can't the letter 'z' be factored out in the given example?

It is not a common factor

It is a constant

It appears in all terms

It appears in only one term

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in the ladder method of factorization?

Divide by the largest number

Divide by 2 if all numbers are even

Add all terms together

Multiply by a common factor

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the ladder method, what do you do after dividing by numbers?

Divide out repeated letters

Subtract the terms

Add the terms

Multiply by a common factor