<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.
Answer:
6/1+i= 6 + i
Step-by-step explanation:
Answer:
The <em>z</em>-score for a a class with 21 students is <u>-1.33</u>.
Step-by-step explanation:
The <em>z</em>-score of a raw <em>X</em> is computed by subtracting the mean of a distribution from the raw score <em>X</em> and dividing the result by the standard deviation of the distribution.
The <em>z</em>-scores are standardized scores and follow a Standard normal distribution.
Given:
μ = 38.1
σ = 12.9
<em>X</em> = 21
Compute the <em>z</em>-score for the raw score <em>X</em> as follows:
Thus, the <em>z</em>-score for a a class with 21 students is <u>-1.33</u>.
Do distributive property first
4x + 8 = 28
move the 8 over
4x = 20
divide by 4
x = 5
