Answer:
m² + 8m + 7 = (m + 1) (m + 7)
m² – 6m + 8 = (m – 2) (m – 4)
Step-by-step explanation:
If a trinomial ax² + bx + c is "factorable", you can use the AC method.
1. Multiply a and c.
2. Find factors of ac that add up to b.
3. Divide the factors by a and reduce.
4. The numerators are the constants, the denominators are the coefficients.
For example:
m² + 8m + 7
a = 1, b = 8, c = 7
1. ac = 1×7 = 7
2. Factors of 7 that add up to 8 are 1 and 7.
3. Divide by 1: 1/1 and 7/1
4. The factors are (m + 1) and (m + 7).
Therefore, m² + 8m + 7 = (m + 1) (m + 7).
Let's try one with a negative coefficient:
m² – 6m + 8
a = 1, b = -6, c = 8
1. ac = 1×8 = 8
2. Factors of 8 that add up to -6 are -2 and -4.
3. Divide by 1: -2/1 and -4/1
4. The factors are (m – 2) and (m – 4)
Therefore, m² – 6m + 8 = (m – 2) (m – 4).
You can check your answers by distributing.
Answer:
15 people are able to be at the charity gala because 77:55 divided by 5:17.
the shape of christina’s garden is a rectangle
and trapezoid. The rectangle has a dimensions of 4 units by 2 units. The trapezoid
upper base is 8 units and the lower base is 4 units and the height is 2 units
Area of the garden = area rectangle + area
trapezoid
A = (LW) + 0.5( base1 + base2)(h)
A = ( 4 x 2) + 0.5 ( 8 + 4) (2)
A = 20 sq units
Number of carrots = 20 sq units x 15 carrots/
sq units
<span>= 300 carrots</span>
Answer:
No Solution
Step-by-step explanation:
(If you are in higher level math, the answer would be x = 2 + or -
i