The polynomial a,b,c,are not perfect square polynomial and the polynomial d is perfect square polynomial.
The given polynomial is

What is the form of perfect square polynomial?

we solve this method by using perfect square method
add and subtract 1/9

factor 36

Now complete the square
Therefore this is not perfect square trinomial.
Similarly for

Complete square is,

This polynomial is also not perfect square trinomial.

complete square is,

This polynomial is not perfect square trinomial.

complete square is,

This polynomial is perfect square trinomial.
Therefore,
The polynomial a,b,c,are not perfect square polynomial and the polynomial d is perfect square polynomial.
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10.
Factor the following:
8 x^2 - 2 x - 10
Factor 2 out of 8 x^2 - 2 x - 10:
2 (4 x^2 - x - 5)
Factor the quadratic 4 x^2 - x - 5. The coefficient of x^2 is 4 and the constant term is -5. The product of 4 and -5 is -20. The factors of -20 which sum to -1 are 4 and -5. So 4 x^2 - x - 5 = 4 x^2 - 5 x + 4 x - 5 = 4 x (x + 1) - 5 (x + 1):
2 4 x (x + 1) - 5 (x + 1)
Factor x + 1 from 4 x (x + 1) - 5 (x + 1):
Answer: 2 (x + 1) (4 x - 5)
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13.
Factor the following:
16 x^2 - 24 x + 8
Factor 8 out of 16 x^2 - 24 x + 8:
8 (2 x^2 - 3 x + 1)
Factor the quadratic 2 x^2 - 3 x + 1. The coefficient of x^2 is 2 and the constant term is 1. The product of 2 and 1 is 2. The factors of 2 which sum to -3 are -1 and -2. So 2 x^2 - 3 x + 1 = 2 x^2 - 2 x - x + 1 = -(2 x - 1) + x (2 x - 1):
8 x (2 x - 1) - (2 x - 1)
Factor 2 x - 1 from x (2 x - 1) - (2 x - 1):
Answer: 8 (2 x - 1) (x - 1)
Answer:
4,000 is the integer representing the final balance of the bank account
Step-by-step explanation:
Here, we are told that Shiavni had a total of $9,000 in her bank account at the start of the week of which she spent $5,000 out of it on an antique clock.
Now, we want to know the integer that represents the amount which is the final balance of the bank account.
Mathematically, when we talk of an integer, we are simply referring to a whole number, be it negative or positive.
Thus, the integer is the case is the difference in what she had at the beginning of the week minus the cost of the clock
That would be; $9,000 -$5000 = $4,000
R = 6x + 5y
x = 7, R = 18
Substitute them in: 18 = 6(7) + 5y
18 = 42 + 5y
-24 = 5y
y = -24/5
It’s already in its simplest form