Answer:
The polynomial 3x² + x - 6x + 3 is a prime polynomial
How to determine the prime polynomial?
For a polynomial to be prime, it means that the polynomial cannot be divided into factors
From the list of options, the polynomial (D) is prime, and the proof is as follows:
We have:
3x² + x - 6x + 3
From the graph of the polynomial (see attachment), we can see that the function does not cross the x-axis.
Hence, the polynomial 3x² + x - 6x + 3 is a prime polynomial
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Answer:
see explanation
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Given
x² + x + 1 ← to obtain vertex form use metod of completing the square
To complete the square
add/ subtract (half the coefficient of the x- term )² to x² + x
x² + 2()x + - + 1
f(x) = (x + )² + ← in vertex form
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Answer:
Step-by-step explanation:
2(4x - 8) - 10
8x - 16 - 10
|_______|
8x - 26
-5x + 8 - 11x - 12
___ ___ _____ ____
___ ____
-16x - 4
-3(4x - 5)
-12x + 15
For the third and first exercises, you just use the Distributive Property, and for the second exercise, all you are doing is combining like-terms.
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Answer:
B) 8 ≤ p
Step-by-step explanation:
1000 - 380 = 620
620 / 80 = 7.75
Round it up to 8