If <em>x</em> + 1 is a factor of <em>p(x)</em> = <em>x</em>³ + <em>k</em> <em>x</em>² + <em>x</em> + 6, then by the remainder theorem, we have
<em>p</em> (-1) = (-1)³ + <em>k</em> (-1)² + (-1) + 6 = 0 → <em>k</em> = -4
So we have
<em>p(x)</em> = <em>x</em>³ - 4<em>x</em>² + <em>x</em> + 6
Dividing <em>p(x)</em> by <em>x</em> + 1 (using whatever method you prefer) gives
<em>p(x)</em> / (<em>x</em> + 1) = <em>x</em>² - 5<em>x</em> + 6
Synthetic division, for instance, might go like this:
-1 | 1 -4 1 6
... | -1 5 -6
----------------------------
... | 1 -5 6 0
Next, we have
<em>x</em>² - 5<em>x</em> + 6 = (<em>x</em> - 3) (<em>x</em> - 2)
so that, in addition to <em>x</em> = -1, the other two zeros of <em>p(x)</em> are <em>x</em> = 3 and <em>x</em> = 2
Answer:
What is the degree of polynomial?
The degree of a polynomial is the highest of the degrees of the polynomial's monomials with non-zero coefficients.
Example:
4x The Degree is 1 (a variable without an
exponent actually has an exponent of 1)
More Examples:
4x^ − x + 3 The Degree is 3 (largest exponent of x)
x^2 + 2x^5 − x The Degree is 5 (largest exponent of x)
z^2 − z + 3 The Degree is 2 (largest exponent of z)
A constant polynomials (P(x) = c) has no variables. Since there is no exponent to a variable, therefore the degree is 0.
3 is a polynomial of degree 0.
Answer: The answer is 25
Step-by-step explanation:
First, You would add the two numbers together, which you get 155
Then, the degrees of a triangle is equal to 180. So you would subtract 155 from 189, and you should get 55.
Hope this helps :3
Answer:
It will take 10 hours.
Step-by-step explanation:
By using the formula of motion,
v = u + at
Here, v = Final speed of an object
u = initial speed
a = Acceleration by which the speed is increasing
t = Duration or time
Now substitute the values given in the question,
80 = 50 + 3t
3t = 30
t = 10 hours
Therefore, after 10 hours speed of the bus will be 80 mph.
Answer: A,E
Explanation: i just sacrificed my answer to find the right answer
