1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mariulka [41]
3 years ago
9

What is factorisation ​

Mathematics
1 answer:
liubo4ka [24]3 years ago
6 0

Factorization is a method of writing numbers as the product of their factors or divisors.

<em><u>Solution:</u></em>

<em><u>Factorisation:</u></em>

Factorization is a method of writing numbers as the product of their factors or divisors.

In other words we can say, Finding what to multiply together to get an expression.

It is like "splitting" an expression into a multiplication of simpler expressions.

<em><u>Methods of factorisation:</u></em>

  • Factoring out the GCF
  • The sum-product pattern
  • The grouping method
  • The perfect square trinomial pattern
  • The difference of squares pattern

<em><u>Factoring out the GCF:</u></em>

This methods means that factoring out common factors

For example:

12x^2 + 3x = 3x(4x + 1)

This can be used when each term in given expression shares a common factor

<em><u>The sum-product pattern</u></em>

A quadratic equation may be expressed as a product of two binomials

For example:

x^2 + 7x + 12 = (x + 3)(x + 4)

This method can be used for quadratic equations of form ax^2 + bx + c = 0

<em><u>The grouping method</u></em>

If the polynomial is of the form  ax^2 + bx + c and there are factors of ac that add up to b , we can use this method

For example:

2x^2 + 7x + 3\\\\2x^2 + 6x + 1x + 3\\\\2x(x + 3) + 1(x + 3)\\\\(x + 3)(2x + 1)

<em><u>The perfect square trinomial pattern</u></em>

If the first and last terms are perfect squares and the middle term is twice the product of their square roots , we can use this method

For example:

x^2 + 10x + 25\\\\(x + 5)^2

<em><u>The difference of squares pattern</u></em>

If the expression represents a difference of squares, we can use this method

Because a^2 - b^2 = (a + b)(a - b)

For example:

x^2 - 25\\\\x^2 - 5^2\\\\(x + 5)(x - 5)

You might be interested in
A glacier moves 152 ft a year how many inches a day does it move (hint 356 days in a year)
matrenka [14]
It moves roughly 5 inches a day. (p.s you made a mistake, there is 365 days in a year not 356)
6 0
3 years ago
Read 2 more answers
Box 1 measures 6cm in width, 12cm in length, and 4cm in height. The height is doubled to 8cm to produce a larger box, Box 2 Whic
arlik [135]

Step-by-step explanation:

i don't know but i think this is it

The height is doubled to 8cm to produce a larger box, Box 2 Which phrase accurately describes the volume of Box 2

6 0
3 years ago
A scatter plot is made with the data shown:
alexandr1967 [171]

Answer:

its B

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
In a certain company a salesman is paid a fixed salary for $3140 per month plus an annual commision of 2% on the TOTAL value of
hodyreva [135]

Step-by-step explanation:

(i) 12 months × fixed salary

= 12 × 3140

= 37680 $

(ii) commission = total × 2%

= 720000 × 0.02

= 14400 $

(iii) fixed salary + commission

= 37680 + 14400 = 52080 $

8 0
3 years ago
5x-2y=2 slope intercept form?
Nata [24]

Answer:

y = \frac{5}{2}x-1  

Step-by-step explanation:

Slope-intercept form is represented by the formula y = mx  + b. So, to place the given equation in slope-intercept form, isolate the y on the left side and arrange the terms in that matching order. Remember, whatever you do to one side, do to the other:

5x-2y = 2\\-2y = -5x + 2\\\frac{-2}{-2}y = \frac{-5}{-2} x+\frac{2}{-2} \\y = \frac{5}{2} x-1

So, the slope-intercept form is y = \frac{5}{2}x-1.

6 0
3 years ago
Other questions:
  • Can someone help me pelase?? 20
    15·1 answer
  • What number is it? the difference of 9 and three times equals 69. find the number
    15·1 answer
  • How many times greater is the 4 in the thousands place compared to the 4 in the hundreds place?
    13·1 answer
  • Use a graphing calculator to sketch the graph of the quadratic equation and then give the coordinates for the x-intercepts (if t
    9·1 answer
  • A small appliance is regularly priced at $60. On sale
    13·1 answer
  • Helpp please!! 10 points
    7·1 answer
  • Select all expressions that at equivalent to the expression 3x + 5. A. 9x − (−5 + 6x) B. 9x − (5 − 6x) C. 9x − (6x + 5) D. 9x −
    7·1 answer
  • Which expression is equivalent to 8+20 ? A. 4(4+20) B.4(2+5) C.2(2+10) D. 2(6+18) Find the missing fac or in the given expressio
    11·1 answer
  • Please help!!!!!!!!!!!!!!!!!!!
    11·2 answers
  • What is the solution to the equation StartFraction y Over y minus 4 EndFraction minus StartFraction 4 Over y + 4 EndFraction = S
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!