Write and simplify the polynomial represented by the model.
(Model shows: 3 big blank squares, 2 long black rectangles, 3 small blank squares, 1 big black square, 6 small black squares)
a. -2x^2 + 2x + 3
b. 2x^2 - 2x - 3
c. 3x^2 - 2x - 3
d. 2x^2 - 2x + 3
b
d
c
b
c
d
a
a
c
c
b
c
b
a
All these are correct, I had trouble on this practice test, so I studied got a couple wrong, but I went back and got all the correct answers for you!
Egg is 100% right I got and 14/14
I wish that I knew the answer to help. I have the same question I need to answer
its a im pretty sure
no no no its b
To determine the polynomial represented by the given model, let's assign values to each shape:
- The big blank squares represent the term with the highest degree, which is x^2. Since there are 3 of them, the term is 3x^2.
- The long black rectangles represent the next degree term, which is x. Since there are 2 of them, the term is 2x.
- The small blank squares represent the constant term with a degree of 0. Since there are 3 of them, the term is 3.
- The big black square represents the negative coefficient of x^2, which is -1.
- The small black squares represent the positive constant term, which is +1.
Putting it all together, the polynomial represented by the model is: 3x^2 + 2x - 3 + (-1)x^2 + 1.
Now, let's simplify this polynomial by combining like terms:
Combining the x^2 terms gives us: 3x^2 + (-1)x^2 = 2x^2.
Combining the x terms gives us: 2x.
Combining the constant terms gives us: -3 + 1 = -2.
Therefore, the simplified polynomial represented by the model is:
2x^2 + 2x - 2.
So, the correct answer is d. 2x^2 - 2x + 3.