Use the grouping method to factor x³ + x² + 3x+3.
1 answer:
Answer:
D.
Step-by-step explanation:
Hello!
We can group the first two terms and the last two terms.
<h3>Factor by Grouping</h3>Factoring by grouping is the process of breaking down larger polynomials to smaller ones to factor. We can then combine like factors.
In the second step, we can see that we can rewrite as
, as both the two terms share a common factor of
. We can pull out
from that expression. Similarly,
and
share a common factor of
, so we can pull that out.
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Answer:
The time taken by smaller pipe to fill the tank alone is 74.2 min
Step-by-step explanation:
Given as :
The time taken by two pipes to fill tank = 19 min
Let the time taken by larger pipe to fill tank = y
And the time taken by smaller pipe to fill tank = x
According to question
The smaller pipe takes 49 minutes longer than larger pipe
I.e x = y + 49
Now,
+
=
Or, +
=
Or, =
Or, 2 y + 49 =
Or, 19 × ( 2 y + 49 ) = y² + 49 y
Or, 38 y + 931 = y² + 49 y
Or, y² + 49 y - 38 y - 931 = 0
or, y² + 11 y - 931 = 0
Or, Applying quadratic equation method to calculate the value of y
so, y =
Or, y =
Or, y =
or, y =
or, y =
∴ y = 25.2 , - 36.5
So, The time taken by larger pipe = y = 25.2 min
and the time taken by smaller pipe to fill the tank = y + 49 = 25.2 + 49 = 74.2 min
Hence The time taken by smaller pipe to fill the tank alone is 74.2 min answer