Which statements are true about the polynomial 4x3 – 6x2 + 8x – 12? Check all that apply. The terms 4x3 and 8x have a common fac
2 answers:
Answer:
Option 1,2 and 5 are true.
Step-by-step explanation:
Given : The polynomial
To find : Which statements are true about the polynomial? Check all that apply.
Solution :
First we find the factor of the given polynomial.
Now, We check one by one.
1) The terms have a common factor.
Yes, it is true they have common factor i.e, 4x.
2) The terms have a common factor.
Yes, it is true they have common factor i.e, .
3) The polynomial is prime.
No, It is not prime, and the factored polynomial is 4(2x-3)
4) The factored polynomial is .
No, It is not correct. As factored of polynomial is
5) The polynomial can be grouped in different ways to factor by grouping.
Yes, it is true.
Therefore, Option 1,2 and 5 are true.
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Answer:
7/60
Step-by-step explanation:
Because the question is phrased such that it asks "the ratio of time with father <em>to...."</em>, we know to put the time with father on top, or first. Similarly, since it is asked to put the ratio of time with the father to the time in daycare, we can put the daycare amount second/on the bottom. Therefore, we can write the ratio as
(42 minutes)/(6 hours)
To make both of these in terms of minutes to simplify it, we know that 60 minutes = 1 hour, so 1 hour / 60 minutes =1 . Since multiplying something by 1 keeps it the same, we can multiply our ratio by this amount. We want to multiply with the hour on top so the hours cancel out, as so:
To simplify this even further, we can note that 6 is a factor of both 42 and 360*, so we can multiply this fraction by (1/6) / (1/6) to get
(42/360) * (1/6)/(1/6) = 7/60 as our final answer
If this doesn't come up immediately, you can always find the greatest common factor by listing the factors of each number and finding the highest one that fits both, e.g.
for 42: 42, 21, 14, 7 , 6...
for 360: 360,180, ... 6,5....