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You use the FOIL method, which stands for First Outside Inside Last. Say, for example, you have the factored polynomial (2x - 3)(x + 1).

To FOIL it you would take the two first components, 2x and x, and multiply them together, getting 2x^2. Next, you take the two outside components, 2x and 1, and multiply them together, getting 2x. After that, you take the two inside components, -3 and x, and multiply them together, getting -3x. Finally, you take the two last components, -3 and 1, and multiply them together, getting -3. You add all of these things together to get 2x^2 - x - 3.

With only variables, you could look at it this way: (ax + b)(x + c), the answer being ax^2 + acx + bx + bc.

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8y ago

If you multiply out the factors you obtained, you should get the original expression back.

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Q: How could you use the distributive property to check your factoring?
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Explain how to use the distributive property to find 20x12?

The distributive property is not used for simplified multiplication. See http://www.algebrahelp.com/lessons/simplifying/distribution for information about how to use the distributive property to simplify other equations. 20 x 12 is already simplified, so the proper way to solve it is 12 x20 ----- 240 You could potentially factor and use the commutative property to find a simpler equation, ex. 20x12 -- break 20 into 10 and 2 10x2x12 -- multiply 2 by 12 10x24 -- multiply by 10 240


Could you factor the polynomial 3ax-15a plus x-5?

Do you mean (3ax-15a)+(x-5)?If so, then this is simply a matter of factoring by grouping, which you should have learned in pre-algebra.You should show these steps in your work:1. (3ax-15a)+(x-5)- beginning equation2. 3a(x-5)+1(x-5)- factoring it out3. (3a+1)(x-5)- rule of factoring by groupingYou should learn this method, because it is very simple and helps you a lot in factoring chapters.


How do you write an equivalent expression using the communative property with 11 plus ab?

Using the communative property of both addition and multiplication, 11+ab could be rewritten as ab+11, 11+ba or ba+11.


Which property is illustrated by the following statement if hxa is equal to rgi then rgi is equal to hxa?

Symmetry


Describe the role of axiom systems in algebra?

An axiom in algebra is the stepping stone to solving equations. In order to solve and equation you know how to use the commutative, associative, distributive, transitive and equalilty axiom to solve the basic steps. For example: if you want an equation in the form y = mx + b, given 6x - 3y = 9 you must subtract 6x from both sides giving: -3y = 9-6x. Then you divide by -3 to get y = -3 + 2x. But the equation is not in the from y = mx + b. So we use the commutative property to switch the -3 + 2x and make it 2x - 3. Now it become y = 2x -3. and it is in the form y = mx + b. This manipulation could not be perfromed unless tahe student knew the commutative property. Once the axiom is know the algebraic manipulations fall into place.

Related questions

Could you use 1 in distributive property?

no because distributive property is for multiple digit numbers.


How could distributive property be used to multiply 43.2?

Whether or not the distributive property can or should be used depends on what you wish to multiply 43.2 by. For example, if you wish to multiply 43.2 by 10, the distributive property is irrelevant!


How do you write 12 times 14 in distributive property?

12 times 14 = 12*(10 + 4) You could apply the distributive property twice and go for (10 + 2)*(10 + 4)


What is 19 times fourteen written in distributive property and solved?

19*14 = 19*(10 + 4) = 19*10 + 19*4 = 190 + 76 = 266 (You could use the distributive property again to split 19 into 10 + 9 but that is multiplying by 19 is simple enough and using the distributive property for that is just laziness.


How could you the gfc and the distributive property to express the sum of 20 and 36 as a product?

4(5 + 9)


What is the distributive property of 16 x 102?

As it stands, 16*102 has no distributive property. The distributive property is a property that multiplication has over addition. It is, therefore, necessary for the question to have a multiplicative components and an additive component.So, if you chose to write 102 as (100 + 2) then the question becomes16*(100 + 2)and THEN the distributive property can be used to express that as16*100 + 16*2You could, equally go for(10 + 6)*102 = 10*102 + 6*102Or split either number into any other convenient form of addition.


How could you use the distributive property to show 84 divided by 7?

12


How would you use the distributive property to multiply 15x95?

You wouldn't. if it was something like 15(X-95) then you could use the distrubutive property but that is just a multiplication problem


Distrubutive in math?

The distributive property in math is (in variable definition) : a(b+c)=ab+ac For example you could use the distributive property to simplify this expression: 3(x+4) (3)(x) + (3)(4) 3x+12 is your answer! Hope this helps! -dancinggirl25


In a real life situation how could you use the distributive property?

For example, you use it every time you do a multiplication. For example, in the following multiplication: 13 x 2 --- 26 Actually 13 is being split into two parts, 10 + 3, and then the distributive property is applied.


What does the math term distributive?

If you're talkin about the distributive property, here's an example of how to use it: 5(x + 4) You do 5*x= 5x and 5*4= 20 and you get 5x + 20 Get it? Hope could help :)


How do you write 8x18144 in distributive property?

You could write it as 8*(18000 + 100 + 44) = 8*18000 + 8*100 + 8*44