To factorise an expression fully, means **to put it in brackets by taking out the highest common factors**. The simplest way of factorising is: Find the highest common factor of each of the terms in the expression.

**Features of Factoring:**

- It is very costly.
- In factoring there are three parties: The seller, the debtor and the factor.
- It helps to generate an immediate inflow of cash.
- Here the full liability of debtor has been assumed by the factor.
- Factor has the right to take any legal action required to recover the debts.

Factorising is **the reverse process of expanding brackets**. A factorised answer will always contain a set of brackets. To factorise an expression fully, take out the highest common factor (HCF) of all the terms.

RULE # 1: The First Rule of Factoring: **Always see if you can factor something out of ALL the terms**.

A useful factoring rule for ax^2+bx+c is to note that **if c>0, then LI and LO must be both positive or both negative**. Likewise, if a is positive, FO and FI must be both positive or both negative. If c is negative, then either LI or LO is negative, but not both.

Factorisation is **the process of reducing the bracket of a quadractic equation, instead of expanding the bracket and converting the equation to a product of factors which cannot be reduced further**. For example, factorising (x²+5x+6) to (x+2) (x+3). Here, (x+2) (x+3) is factorisation of a polynomial (x²+5x+6).

**Factorising Cubic Polynomial**

- Find x = a where p(a) = 0.
- Then (x – a) is the factor of p(x)
- Now divide p(x) by (x – a) i.e. (p(x))/((x - a))
- And then we factorise the quotient by splitting the middle term.

a^{2} + 2ab + b^{2} = (a + b)^{2} = (a + b)(a + b) a^{2} – 2ab + b^{2} = (a – b)^{2} = (a – b) (a – b)

To factorise an expression fully, means **to put it in brackets by taking out the highest common factors**. The simplest way of factorising is: Find the highest common factor of each of the terms in the expression.

**Page 1**

- Place of prepositions – show WHERE something HAPPENS • Sanny was sitting under a tree. •
- Time of prepositions – show WHEN something happens • School starts at nine o'clock. •
- Direction of prepositions – show WHERE something is GOING • The boys chased after each other. •
- COMMON PREPOSITIONS. across.

Best Reference Books for Class 11

Subject | Best Reference Books For Class 11 | Publication / Author |
---|---|---|

Mathematics for Class 11 | RD Sharma | |

Physics | Concepts of Physics | HC Verma |

Chemistry | ABC of Chemistry | Modern Publications |

Biology | ABC of Biology | Modern Publications |

**How Can Students Prepare For AMC 8?**

- Practice, practice, practice…
- Explore the mathematical pattern that happens around you.
- Learn and practice with a group.
- Understand the tenets of a good problem solving strategy.
- Know the AMC 8 schedule and prepare ahead.
- Understand the progression of problems and allocate time wisely.

An n-type semiconductor is **an intrinsic semiconductor doped with phosphorus (P), arsenic (As), or antimony (Sb) as an impurity**. Silicon of Group IV has four valence electrons and phosphorus of Group V has five valence electrons.

From sales and data analysis to marketing and project management, intelligent automation is boosting efficiency across businesses by taking over several time-consuming and repetitive tasks.**Examples of how big-name companies are using intelligent automation**

- Unilever.
- HSBC.
- Alibaba.
- TUI.
- Generali.

**The 3 types of survey research and when to use them**

- The 3 types of survey research and when to use them.
- Most research can be divided into three different categories: exploratory, descriptive and causal.
- In the online survey world, mastery of all three can lead to sounder insights and greater quality information.

**How to calculate discount and sale price?**

- Find the original price (for example $90 )
- Get the the discount percentage (for example 20% )
- Calculate the savings: 20% of $90 = $18.
- Subtract the savings from the original price to get the sale price: $90 - $18 = $72.
- You're all set!

As the name states, command 'pwd' **prints the current working directory or simply the directory user is, at present**. It prints the current directory name with the complete path starting from root (/). This command is built in shell command and is available on most of the shell – bash, Bourne shell, ksh,zsh, etc.

The F and G have zero lines of symmetry. Those letters cannot be folded in half in any way with the parts matching up. The rest of the letters, A, B, C, D, and E all have only 1 line of symmetry. Notice that **the A has a vertical line of symmetry**, while the B, C, D, and E have a horizontal line of symmetry.

**nucleotide** /N(Y)OO-klee-ə-tīd, -ō-tīd/ One of the monomeric units of which DNA and RNA polymers are composed. A nucleotide is made up of a nitrogenous base and a phosphate group covalently bonded to a five-carbon sugar molecule (deoxyribose in DNA and ribose in RNA).

Some common synonyms of consider are **contemplate, study, and weigh**. While all these words mean "to think about in order to arrive at a judgment or decision," consider may suggest giving thought to in order to reach a suitable conclusion, opinion, or decision.

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Dated : 26-Jun-2022

Category : Education