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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)

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MissTica

Answer: The number of batches made by Vanessa  last weekend = 5

Number of batches made this weekend =20

Step-by-step explanation:

Let x be the number of batches made y Vanessa  last weekend.

Given : This weekend Vanessa made 4 times as many batches as last weekend.

i.e. Number of batches made this weekend = 4x

She made a total of 25 batches for the two weekends.

i.e. x+4x=25

\Rightarrow\ 5x=25

Divide both sides by 5 , we get

x=5

i.e. number of batches made y Vanessa  last weekend = 5

Number of batches made this weekend =20

Hence, the number of batches made by Vanessa  last weekend = 5

Number of batches made this weekend =20

7 0
3 years ago
The mean score of 8 players is 14.5. If the highest individual score is removed the mean of the score of the remaining 7 players
AfilCa [17]

Answer:

The highest score is 32.

Step-by-step explanation:

We are given the following in the question:

The mean score of 8 players is 14.5.

Let x denote the highest score.

If x is removed, the mean of the score of the remaining 7 players is 12.

Formula for mean:

\bar{x} = \dfrac{\displaystyle\sum x_i}{n}

Putting values, we get:

14.5 = \dfrac{\displaystyle\sum x_i}{8}\\\\\Rightarrow \displaystyle\sum x_i = 116\\\\12 = \dfrac{\displaystyle\sum y_i}{7}\\\\\Rightarrow \displaystyle\sum y_i  = 84\\\\\displaystyle\sum y_i = \displaystyle\sum x_i -x \\\\84 = 116 - x\\\Rightarrow x = 32

Thus, the highest score is 32.

4 0
3 years ago
48oz sprite for $1.39 or 32 oz dr. pepper for $0.89?
leonid [27]
Answer: Dr. Pepper


Divide 1.39 by 48. Then divide 0.89 by 32.
7 0
3 years ago
Please help me with math and thank you
o-na [289]

Answer:  864 square inches (choice A)

Work Shown:

area = length*width

area = 36*24

area = 864

3 0
3 years ago
Solve for b.<br> r = (b-5)m
alukav5142 [94]

Answer:

b=5m+r/m

Step-by-step explanation:

Let's solve for b.

r=(b−5)(m)

Step 1: Flip the equation.

bm−5m=r

Step 2: Add 5m to both sides.

bm−5m+5m=r+5m

bm=5m+r

Step 3: Divide both sides by m.

bm/m=5m+r/m

b=5m+r/m

Answer:

b=5m+r/m

6 0
3 years ago
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