Explanation:
It helps to understand the process of multiplying the binomials. Consider the simple case ...
(x +a)(x +b)
The product is ...
(x +a)(x +b) = x² +(a+b)x + ab
If the <em>constant</em> term (ab) is <em>negative</em>, the signs of (a) and (b) are <em>different</em>.
If the constant term (ab) is <em>positive</em>, the signs of (a) and (b) will both match the sign of the coefficient of the linear term (a+b).
___
Of course, the sum (a+b) will have the sign of the (a) or (b) value with the largest magnitude, so when the signs of (a) and (b) are different, the factor with the largest magnitude will have the sign of (a+b), the x-coefficient.
<u>Example</u>:
x² -x -6
-6 tells you the factors will have different signs. -x tells you the one with the largest magnitude will be negative.
-6 = -6×1 = -3×2 = ... (other factor pairs have a negative factor with a smaller magnitude)
The sums of these factor pairs are -5 and -1. We want the factor pair that has a sum of -1, the coefficient of x in the trinomial.
x² -x -6 = (x -3)(x +2)
Answer:
D, E
Step-by-step explanation:
It’s not A because the equation can not be any pair of numbers.
It’s not B because that is stupid logic.
It’s not C because (3,4) and (10,8) don’t work
It’s not F because there is 1 solution
The correct answer is C, if you use the distributive property and multiply all of them by each other you would get x^3+2x^2+3x+6.
Hope this helps :-)
The answer is D. The volume of the rectangle = 180 x 1/3 x 1/3 x 1/3 = 180/27=6 + 18/27.
<span>Unit cube = 1 x 1 x 1</span>
