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)
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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).
x^3+5x^2+6xFirst take out an x: x(x^2+5x +6)Then find the roots: x(x+2)(x+3)
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.
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