Answer:
c<5, and c>-4.
<u>Steps used for answers:</u>
5c+3<28 =
1. Subtract 3 from both sides.
5c<28-3
2. Simplify 28-3 to 25.
5c<25
3. Divide both sides by 5.
c<25/5
4. Simplify 25/5 to 5.
c<5
-----------------------
-4c-2<14 =
1. Add 2 to both sides.
-4c<14+2
2. Simplify 14+2 to 16.
-4c<16
3. Divide both sides by -4.
c>-16/4
4. Simplify 16/4 to 4.
c>−4
<u>Done by NeighborhoodDealer</u>
b) -4
- 8x +4 =36
First, we subtract 4 from 36 to get 32
36-4=32
-8x=32
Since a negative times a negative equals a positive, then the answer has to be negative because 36 is positive.
32 divided by 8 = 4
B) -4
<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: 5in
Step-by-step explanation:
1/3x8/8=8/24
1/8x3/3=3/24
8-3=5
