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)
726 to the hundred's is 700
726 to the ten's is 730
Answer
6.9step-by-step explanation: simple math really6 1/2 times 0.6 = 3.9but if you are just doing 6
Step-by-step explanation:
Answer:
k < - 1
Step-by-step explanation:
28 + 3k < 5(-3-8k)
28 + 3k < - 15 - 40k
28 + 15 < - 40k - 3k
43 < - 43k
43/- 43 > k (switch signs because 43 is negative)
k < -1
Answer:no cap
Step-by-step explanation:that looks complicated
