The question probably refers to factoring 5x2 + 7x - 24
The general form of a quadratic equation is ax2 + bx + c .
In this case, a = 5, b = 7 and c = -24.
ac = 5 x -24 = -120 = - (23 x 3 x 5)
Determine the two integers whose sum is b = 7 and whose product is ac = -120
The two integers are 15 and -8.
5x2 + 7x - 24 = 5x2 + 15x - 8x -24 = 5x(x + 3) - 8(x + 3) = (5x - 8)(x + 3)
4(g+4) you can take a 4 out from both terms
if you take a factor of (Y) you end up with Y(X+5Z-2).
Binomials are used when the total of n independent trials take place and one wants to find the probability of r successes, when each success has a probability "p" of occurring. There should be independent trails, Probability of success stays the same for all trials, Fixed number of trials and Two different classifications in order to use binomial distribution.
x^3+5x^2+6xFirst take out an x: x(x^2+5x +6)Then find the roots: x(x+2)(x+3)
we can use direct substitution. do this we must take the opposite of the constant in the factor that we want to test. -1*(1)=-1 now we simply take f(-1). =-1^3-(-2)^2-8(-1)-5 =-1-4+8-5 =-2 since we got -2 in the end (x+1) is not a factor of this polynomial. According to factor theorem it can only be a factor is the remainder is 0
X2 + 2X - 35(X - 5)(X + 7)================take your pick of these two binomials
You can take 17mn out of all of those.
x^3 + x^2 + x = x(x^2 + x + 1)
You take out the common factor, 6. 6y + 18 = 6(y + 3)
This polynomial doesn't factor. The only thing you can do is take out parts of some terms, e.g. 2(2x3 + 10x2 + x) - 3.
4(g+4) you can take a 4 out from both terms
Set up two brackets. Since 7 only has two factors, put 7x in one bracket and x in the other. The two other numbers will be a factor pair of 16 (16,1)(8,2)(4,4). Since the signs are minus, one of the brackets will be plus and one will be minus. Now you just have to put it together in a way that fits. We used to call that trial and error, now it's called guess and check. (7x + 4)(x - 4)
Take out the common factor, 3: 3x + 6 = 3(x + 2).
if you take a factor of (Y) you end up with Y(X+5Z-2).
You don't need to factor that; you can add them together, since they have the same variable.However, assuming you might mean 81x squared + 9x, you can take out the common factor, which is 9x.
While it is possible to take 4x out of all of those, it is also possible to add them and get 48x, which factors to 2 * 2 * 2 * 2 * 3 * x
Binomials are used when the total of n independent trials take place and one wants to find the probability of r successes, when each success has a probability "p" of occurring. There should be independent trails, Probability of success stays the same for all trials, Fixed number of trials and Two different classifications in order to use binomial distribution.