<h2>
Question:</h2>
Find k if (x+1) is a factor of 2x³ + kx² + 1
<h2>
Answer:</h2>
k = 1
<h2>
Step-by-step explanation:</h2>
The factor of a polynomial F(x) is another polynomial that divides evenly into F(x). For example, x + 3 is a factor of the polynomial x² - 9.
<em>This is because;</em>
i. x² - 9 can be written as (x - 3)(x + 3) which shows that both (x - 3) and (x + 3) are factors.
ii. If x = -3 is substituted into the polynomial x² - 9, the result gives zero. i.e
=> (-3)² - 9
=> (9) - 9 = 0
Therefore, if (x + a) is a factor of a polynomial, substituting x = -a into the polynomial should result to zero. This also means that, if x - a is a factor of a polynomial, substituting x = a into the polynomial should give zero.
<em><u>From the question</u></em>
Given polynomial: 2x³ + kx² + 1
Given factor: x + 1.
Since x + 1 is a factor of the polynomial, substituting x = -1 into the polynomial should give zero and from there we can calculate the value of k. i.e
2(-1)³ + k(-1)² + 1 = 0
2(-1) + k(1) + 1 = 0
-2 + k + 1 = 0
k - 1 = 0
k = 1
Therefore the value of k is 1.
<h2><u>
Answer and explanation:</u></h2>
Two events are said to be dependent on each other, if the outcome of the first thing affects the outcome of the second thing in such a way that the probability changes.
Here, the right answer will be = removing a marble from a bag, not putting it back, and then removing a second marble.
Explanation:
Lets suppose there were 10 marbles in the bag at the first place. Now, you removed one marble and did not put it back. So, remaining marbles will be 9. Now, if again you choose a marble, you have 9 marbles to choose from. We can see that probability changes with the event that occurred at first place.
So, this is the right answer.
Rest options are simultaneous one. They are not dependent in any way.
Answer:
Subtraction property of inequality
Step-by-step explanation:
Step 1: Definition of Subtraction property
Subtraction property of equality refers to balancing an equation by using the same mathematical operation (minus) on both sides.
Step 2: Relate the definition above with the given question.
It can be seen from the statements in the question that 3 was subtracted from both sides of the initial equation to get:
Hello There!
It is represented as: h =
Hope This Helps You!Good Luck :)
- Hannah ❤
