<h3>
Answer:</h3>
g(x) = (11/12)x³ +(11/2)x² +(55/12)x -11
<h3>
Step-by-step explanation:</h3>
A polynomial with zero "a" will have (x -a) as a factor. Your 3rd-degree polynomial will have the three factors ...
... f(x) = (x -(-4))·(x -(-3))·(x -1)
This will have a y-intercept of (4·3·(-1)) = -12. In order to move it to -11, we need to vertically scale this function by a factor of 11/12. Then our poynomial is ...
... g(x) = (11/12)(x+4)(x+3)(x-1)
Multiplying this out, you get ...
... g(x) = (11/12)x³ +(11/2)x² +(55/12)x -11
Oh my goodness . . .
What do you get when you multiply a number by itself ?
Do you get the square of the number ?
And what do you get when you square the square root of a number ?
Is it the number inside the square root ?
For just a second, let's take the quantity (4t - 3) and call it ' Q '.
Then the problem is to multiply
√Q times √Q .
Isn't that just ' Q ' ?
And is this enough help ?
To write an equality that models a real-world situation, we need a situation. For instance, we have the statement, t<span>he temperature stayed above -15 degees Celsius. The inequality can be written as:
T > 15 degrees Celsius
Hope this answers the question. Have a nice day.</span>