<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:
? i need a better explanation for ur questoin
Step-by-step explanation:
Ok so if the <span>6÷3 does not have a bracket, then the answer would be:
</span><span>6÷3/5 = 6 * 5/3 = 2 * 5 = 10
Hope this helps!</span>
Answer:
B. 25
Step-by-step explanation:
10+6=16
if it is proportional, then it would be 25 to get 15.
Answer:
Step-by-step explanation:
Let X is the number of cards Kenny has
Let Y is the number of cards Lee has
1. Kenny had 5/7 more trading cards than lee, it means
X = Y + 5/7X (1)
2. After Kenny collected 50% more trading cards, he had 220 more trading cards than lee, it means:
X + 50%X = Y + 220 (2)
So, we solve the 2 equations to find out X and Y
<=> X = 
and Y = 
<=> X ≈181 and Y ≈ 52
