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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Answer:
2.29 rads
Step-by-step explanation:
The length of the arc of a circle of radius r is given by;
l = rθ ---------------------------(i)
Where;
l = length of the arc
θ = central angle o that intercepts that arc and measured in radians.
From the question:
l = 16ft
r = 7ft
Substitute these values into equation (i) as follows;
16 = 7θ
Make θ subject of the formula
θ =
θ = 2.29
Therefore, the radian measure of the central angle is 2.29 rads