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5x(3x + 1)

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Q: Factor completely and check mentally 15x squared plus 5x?
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How do you factor trinomials?

you do 2 sets of parenthesis and check it. for example: w2(w squared)-7w-8 (w+1) (w-8) *if you add 1w and -8w you will get -7w, which is what they want you to get. and w & w multiply to get w2(w squared), which is also what the factoring wants. another example: 3w2 (3w squared)+2-8 (3w-4) (w+2) *same thing applies with 3w x w = 3w2, and -4 +2=2, which is the answer. use this theory in all of them, unless there is a greatest common factor (GCF).


Find the altitude of a triangle whose area is 45cm squared and 15cm?

The height or altitude of triangle: (2*45)/15 = 6cm Check: 0.5*15*6 = 45 square cm


How would you factor 2x squared - 72?

2x2 - 72 would be factored into (2x - 12)(x + 6) or (2x + 12)(x - 6) To double check, multiply each pair: (2x - 12)(x + 6) = 2x2 + 12x - 12x - 72 = 2x2 - 72 (2x + 12)(x - 6) = 2x2 - 12x + 12 x - 72 = 2x2 - 72


Solve x squared plus x equals 56?

The way to do this is get an expression equal to zero, then solve (in this case it's a quadratic), so either factor or use the quadratic equation. x2 + x - 56 = 0: Factors into: (x - 7)(x + 8) = 0, x = 7 & x = -8To factor, find two numbers which when added equal 1 (the coefficient of the x term) and when multiplied equal -56. So one of the numbers must be positive and the other negative. Factor pairs of 56 are (1,56) (2,28) (4,14) and (7,8). Seven & eight are one apart, so if the seven is negative, they will add to equal 1. If either of the binomial factors is zero, then the result is zero, so for (x-7)=0, {x=7} solves it, and for (x+8)=0, {x=-8} solves it. Check your answers in the original equation, to make sure you did it correctly:7^2 + 7 = 49 + 7 = 56 (check) (-8)^2 + -8 = 64 - 8 = 56 (check) STANLY WAS HERE


How do you factor xy - 2x - 4y - 8?

If this is a question about factorisation check the signs. As it stands, it cannot be factorised.

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8n(5n+8)


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Factor completely and check mentally 4a plus 8b-16c?

8878


Factor completely and check mentally?

6x^3+3x^2-18x


Factor completely and check mentally -15x2 plus 5x?

-5x(3x - 1)


Completely factor and check mentally 40n2 64n?

40n^2 + 64n = n(40n + 64) = 8n(5n + 8)


Factor completely and check mentally 4x2yz plus 2xy2z plus 2xyz?

4x2yz + 2xy2z + 2xyz = 2xyz(2x + y + 1) Not sure what check mentally entails.


How do you factor 4a plus 8b 16c?

With the factor 4a plus 8b 16c you can find the answer and check it mentally. You would first have to find he product of all the numbers to find the value of the letter A.


What is 6 squared times eight squared?

48, check with a calculator for help.


How do you solve 5x squared minus 12x plus 10 equals x squared plus 10x?

Subtract the stuff on the right from the stuff on the left. Get 4x2 - 22x + 10 = 0 Factor that. 2(x - 5)(2x - 1) = 0 x = 5, 0.5 Check it. 125 - 60 + 10 = 25 + 50 (75 = 75) Check. 1.25 - 6 + 10 = 0.25 + 5 (5.25 = 5.25) Check.


How do you factor trinomials?

you do 2 sets of parenthesis and check it. for example: w2(w squared)-7w-8 (w+1) (w-8) *if you add 1w and -8w you will get -7w, which is what they want you to get. and w & w multiply to get w2(w squared), which is also what the factoring wants. another example: 3w2 (3w squared)+2-8 (3w-4) (w+2) *same thing applies with 3w x w = 3w2, and -4 +2=2, which is the answer. use this theory in all of them, unless there is a greatest common factor (GCF).