Answer:
50
Step-by-step explanation:
12 rainy days because 16 divided by 4 is 4. SO, 4 times 3 is 12
6x² + 24x - 72
Divide all the terms by the greatest common of factor of 6. Makes factoring easier. We will need to put this 6 on at the end so keep it in mind.
(6x² + 24x - 72) / 6 = x² + 4x - 12
Your simplified equation is x² + 4x - 12
Now to factor we must find out what two factors of - 12 can be added together to equal 4. The factors are 6 and -2:
x² - 2x + 6x - 12
Now we must group and factor.
(x² - 2x) + (6x - 12)
We can pull an x out of the first binomial because both terms have that in common:
x(x - 2) + (6x - 12)
We can pull a 6 out of the second binomial for the same reason:
x(x - 2) + 6(x - 2)
The terms inside the parentheses match each other, this means (x- 2) is one of the factors of the original trinomial. The other comes from the terms on the outside x and + 6. Put them together, (x + 6)
So your factors are (x - 2)(x + 6); this isn't it though. We need the 6 from the top, the one we divided out to make factoring easier. We will put it on the outside of whichever factor you list first so that your final answer reflects that to get back to the original trinomial, you would have to multiply the whole thing by 6.
Your final answer is:
6(x - 2)(x +6)
Answer:
30
Step-by-step explanation:
We need to find the greatest common factor of 120 and 144.
First, write the prime factorization of both:
120 = 2³×3×5
144 = 2⁴×3²
Both have 2³ and 3 in common, so the GCF is:
GCF = 2³×3
GCF = 24
So the side length is 24 cm. The number of squares along the width is:
120 / 24 = 5
And the number of squares along the length:
144 / 24 = 6
So the number of squares need to fill the entire area is 5×6 = 30. This is the least number of squares with whole-number side lengths that he can use.
