Answer:
g(-1) = 1
Step-by-step explanation:
Synthetic division is by far the fastest way to evaluate this function at x = -1. Set up synth. div. as follows:
-1 ) 1 6 12 8
-1 -5 -7
----------------------
1 5 7 1
since the remainder is 1, g(-1) = 1
Answer:
18
Step-by-step explanation:
i wanna say 18 but im wrong i believe
Answer:
8 4/15
Step-by-step explanation:
Rewriting our equation with parts separated
= 5 + 2/3 + 2 + 3/5
Solving the whole number parts
5 + 2 = 7
Solving the fraction parts
2/3 + 3/5 = ?
Find the LCD of 2/3 and 3/5 and rewrite to solve with the equivalent fractions.
LCD = 15
10/15 + 9/15 = 19/15
Simplifying the fraction part, 19/15,
19/15 = 1 4/15
Combining the whole and fraction parts
7 + 1 + 4/15 = 8 4/15
<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.