I've got three photos for the answers but they don't include 31 or 32.
<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:
The correct option should have been 
.
Step-by-step explanation:
Given the expression
solving the expression
Remove parentheses: (a) = a
Group like terms
Add similar elements
It is clear that not a single given option is . It means no option is correct. It seems you mistyped the correct options.
The correct option should have been .
Answer:
The answer is there are 30 glazed donuts
Step-by-step explanation:
there are 12 donuts to a dozen therefore 12 * 12 = 144 donuts all together.
donuts with chocolate icing
with white icing and sprinkles
donuts with pink icing
Total donuts minus donuts with icing equal glazed donuts
