Factor completely 12x4 + 6x3 + 18x2.
1 answer:
Answer:
B)3x^2 (4*x^2 + 2x + 6)
Step-by-step explanation:
Step 1: Find the Greatest common factor of the given expression.
12x^4 + 6x^3 + 18x^2
The above expression can be written as .
= 2*2*3*x^4 + 2*3*x^3 + 2*3*3*x^2
Here 3x^2 is prime factor
Step 2: Let's take out the 3 and write the remaining terms in the parenthesis.
= 3x^2 (2*2*x^2 + 2x + 2*3)
= 3x^2 (4x^2 + 2x + 6)
Therefore, the answer is B)3x^2 (4*x^2 + 2x + 6)
Thank you.
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If <em>X</em> - <em>A</em> = <em>B</em>, then <em>X</em> = <em>A</em> + <em>B</em>. So
Answer:
He was already 120 km away from Frankfurt so they will meet at 120 + 150 = 370 km away from Frankfurt
Step-by-step explanation:
We are given that the distance between Frankfurt and Prague is 432.5 km.
Distance bw Frankfurt and prague, s(F&P) = 432.5km
Alex left Frankfurt at 10 AM and tavelled at 60 km/hr. At noon i.e 12 PM Michael started traveling from Prague to Frankfurt, which means that Alex travelled 2 hour before Michael started, so lets calculate that distance first.
At 10 AM:
Time travelled by Alex, t = 2hr
Speed, v = 60km/hr
Distance, s(Alex) = v × t = 60 × 2 = 120 km
At noon 12 PM:
Now that Alex has covered 120 km from Frankfurt, he is now 432.5 - 120 = 312.5 km away from Michael at 12 PM.
Distance between Michael and Alex is now 312.5 km
Now Micahel will start moving towards Frankfurt at a speed of 65km/hr
And Alex is also coming towards Prague at a speed of 60km/hr
As they are moving toward eachother their speed will be taken as cumulative.
Speed, v = 65 + 60 = 125
Distance between the two, s = 312.5km
Time t = =
= 2.5 hr
In these 2.5 hr Alex will cover a distance at 60km/hr = 2.5 * 60 = 150
He was already 120 km away from Frankfurt so they will meet at 120 + 150 = 370 km away from Frankfurt