The process is done by determining the factors of the x^2 and 6 seperatly. Then you find the combinations that will give you the coefficient attached to X.
x^2 can only factor into 1x times 1x. The coeffient of x is 1.
-6 can be factored into
-1 * 6,
1 * -6,
-2 * 3, and
2 * -3.
Which combination of those factors is -5?
The only choice is -6,1. Use those values for the constants in the factored polynomial and you have
(x-6)(x+1).
Typically, the polynomial is = 0. That is (x-6)(x+1)=0.
4x^2(9 - a million) easily locate the essential component between the two polynomials, for this reason, it may be 4x^2 There are different pointers on the thank you to component this, yet in a various way could be (6x + 2y)(6x - 2y)
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Verified answer
x^2 – 5x – 6 = (x+1)(x-6)
The process is done by determining the factors of the x^2 and 6 seperatly. Then you find the combinations that will give you the coefficient attached to X.
x^2 can only factor into 1x times 1x. The coeffient of x is 1.
-6 can be factored into
-1 * 6,
1 * -6,
-2 * 3, and
2 * -3.
Which combination of those factors is -5?
The only choice is -6,1. Use those values for the constants in the factored polynomial and you have
(x-6)(x+1).
Typically, the polynomial is = 0. That is (x-6)(x+1)=0.
Then x can be solved and has values 6 and -1.
(x-6)(x+1)
-6 + 1 = 5
-6 * 1 = -6
x^2 - 5x - 6 = x^2 - 6x + x - 6
= x (x - 6) + 1(x - 6)
taking (x-6) as common factor among the two terms
= {x - 6} [(x)(1) + (1)(1)]
= (x - 6)(x +1)
x^2 – 5x – 6 = 0
x = 5 +- [Sq Rt (25 + 24)]/2
x = 6
x = -1
(x - 6) (x + 1) = x^2 – 5x – 6
(x-6)(x+1)
4x^2(9 - a million) easily locate the essential component between the two polynomials, for this reason, it may be 4x^2 There are different pointers on the thank you to component this, yet in a various way could be (6x + 2y)(6x - 2y)
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