Answer:
a = – 8
Step-by-step explanation:
From the question:
When P(x) = 2x³ – ax² + 4x – 4 is divided by x – 1, it gives a reminder of 10.
To obtain the value of a, we shall equate x – 1 to 0 as illustrated below:
x – 1 = 0
x = 0 + 1
x = 1
Next, we shall substitute the value of x into 2x³ – ax² + 4x – 4 and equating it to 10 as illustrated below:
2x³ – ax² + 4x – 4 = 10
x = 1
2(1)³ – a(1)² + 4(1) – 4 = 10
2 – a + 4 – 4 = 10
2 – a = 10
Collect like terms
– a = 10 – 2
– a = 8
Divide through by –1
a = – 8
Therefore, the value of a is –8.
The value that makes the equation true is 3!
7(3) + 1 = 22
Answer:
Option A, Option D and Option E are correct options.
Step-by-step explanation:
We need to find solutions of the inequality: 
We will check the options and see, which options satisfy the inequality.
Option A
x=-4
Put x=-4

So, x=-4 is the solution of inequality.
Option B
x=3
Put x=-3

So, x=3 is not the solution of inequality.
Option C
x=1
Put x=1

So, x=1 is not the solution of inequality.
Option D
x=5
Put x=5

So, x=5 is the solution of inequality.
Option E
x=-2
Put x=-2

So, x=-2 is the solution of inequality.
So, Option A, Option D and Option E are correct options.
Answer:
8
Step-by-step explanation:
To find the answer to these problems you can work backwards
12-4=8