Answer:
44
Step-by-step explanation:
Given a polynomial f(x) divided by (x + h) then the remainder is f(- h)
Here f(x) is divided by (x + 4), thus remainder is calculated as
f(- 4) = (- 4)³ + 5(- 4)² - 7(- 4)
= - 64 + 5(16) + 28
= - 64 + 80 + 28 = 44 ← Remainder
The product would expand to

This is a trinomial, and the only way to make it a binomial is to cancel out a coefficient using our variable
.
So, we can cancel either the linear term or the constant term.
In the first case, we require

In the second case, we require

But
must be a non-zero rational number, so this solution is not feasible.
Answer:
46
Step-by-step explanation:
The geometry can be modeled by a right triangle. The diagonal measure is the hypotenuse, and the height is one leg. The width is the other leg, and can be found using the Pythagorean theorem.
__
<h3>Pythagorean theorem</h3>
The relation between the leg lengths (a, b) and the hypotenuse (c) is ...
c² = a² +b²
Solving for b gives ...
b = √(c² -a²)
<h3>application</h3>
In this problem, we have c=55 and a=30. Then the width of the TV is ...
b = √(55² -30²) = √(3025 -900) = √2125
b ≈ 46.098
The width of the TV is about 46.
Answer:
Go google the answer
Step-by-step explanation: