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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).
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
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
If the diagonal of a square is twenty inches how do you find the length of the sides?
You use the Pythagorean theorem. Remember that Asq + Bsq = Csquared, where A and B are the sides of a right triangle and C is the diagonal. (Remember that a right triangle is just a square cut in half slantwise.) Based on the theorem, you know that the sum of A squared and B squared equals 20 squared (20 squared = 20 x 20 or 400.) Also, since it's a square you concerned with, you know that the sides are the same length. So whatever length "A" side is, "B" side is the same. So we might as well say two times A is the same as A plus B. So two times A squared equals 400. We only want to know what ONE side of the square measures, so we can reduce both sides of the equation by dividing each side by 2. In other words, if TWO times A squared equals 400, then ONE times A squared equals 200. But we don't want to know what the length of A squared is, we want to know what the length of A is. So take the square root. A equals the square root of 200. The square root of 200 is fourteen plus a fraction. So your square is fourteen plus a fraction on each side. Check your work: 14 squared plus 14 squared = 196 + 196 = 392, which is is very close to the C squared we started with of 400. The square root of 400 is 20, and you are back to the beginning.
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 this completely 6a²-8ab plus 2a?
6a squared-8ab+2a factor completely and check mentally
Factor completely and check mentally 40n squared plus 64n?
8n(5n+8)
Factor completely and check mentally 15a - 25b plus 20?
Factor completely and check mentally 10a^2+20a
Factor completely and check mentally?
6x^3+3x^2-18x
Factor completely and check mentally 4a plus 8b-16c?
8878
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).
