5x(3x + 1)
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).
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
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
If this is a question about factorisation check the signs. As it stands, it cannot be factorised.
Call the angle v: tan v = opp/ adj = 70/21 = 3.33; tan 73 = 3.26, tan 74 = 3.48 so 73 degrees is nearest. Check: sin73 = opp/hyp so hyp is 70/sin 73 = 70/0.956 = 73.22. Now use Pythagoras: does 73.22 squared equal 70 squared plus 21 squared? In whole numbers 5329 = 4900 + 441? Not quite, but good enough for Wiki!
6a squared-8ab+2a factor completely and check mentally
8n(5n+8)
Factor completely and check mentally 10a^2+20a
8878
6x^3+3x^2-18x
-5x(3x - 1)
40n^2 + 64n = n(40n + 64) = 8n(5n + 8)
4x2yz + 2xy2z + 2xyz = 2xyz(2x + y + 1) Not sure what check mentally entails.
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.
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.
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).
To factorise a polynomial completely, first look for the greatest common factor (GCF) of the terms and factor it out. Next, apply techniques such as grouping, using the difference of squares, or recognizing special patterns (like trinomials or perfect squares) to break down the remaining polynomial. Continue this process until you can no longer factor, resulting in a product of irreducible factors. Always check your work by expanding the factors to ensure you return to the original polynomial.