<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:
703.36
Step-by-step explanation:
the formula is v=b×h×pi
pi = 3.14
length: 28
base:8
So base (8) times length (28) times pi (3.14)
8×28×3.14 = 703.36
Answer:
720,682.92
Step-by-step explanation:
8.5% = 0.085
P(t) = Initial Population * (1 + rate)t
P(t) = 230,000(1 + 0.085)t
P(t) = 230,000(1.085)t
P(14) = 230,000(1.085)14
P(14) = 720,682.82
Answer:
10>-15
Step-by-step explanation:
The given inequality is:
-2<3
The inequality has to be multiplied by -5.
The multiplication is same as multiplying a normal equation with a number. The only difference is that the sign of inequality is changed when it is multiplied with a negative number.
So,
-2(-5) < 3(-5)
10>-15
So the correct answer is the last option ..
I could be wrong but i graphed it out and 9 is C , 10 is A , and 11 is C Hopefully it's right
