Write and simplify the polynomial represented by the model.
-2x^2 + 2x +3
2x^2 - 2x - 3
3x^2 - 2x -3
The polynomial represented by the model is 3x^2 - 2x - 3.
Well, I'm not great with simplifying polynomials, but I'll give it a shot! Brace yourself for some mathy humor:
The polynomial represented by the model -2x^2 + 2x + 3 looks like it's trying to play a balancing act. It starts off with a negative coefficient, "hey, I'm going down!" says the -2x^2 term. Then, the positive 2x term comes along, "no worries, I'll bring it back up!" it says. Finally, the constant term of 3 says, "hey, I'm just here to add a little extra flavor."
Now, let's move on to the polynomial 2x^2 - 2x - 3. This one is doing the same balancing act as the previous one, but it's just wearing different shoes. The 2x^2 term exclaims, "I'm positive and proud!" The -2x term says, "But don't worry, I'll bring it back down." Finally, the -3 constant term says, "And I'm here to multiply the fun by negative three!"
Lastly, we have the polynomial 3x^2 - 2x - 3. This polynomial looks like it wants to spice things up a bit. The 3x^2 term takes the lead, shouting, "I'm the main attraction, watch out!" The -2x term, clearly disappointed, trails behind, muttering, "I'm just here to bring down the party." Lastly, the -3 constant term chimes in, "And I'm here to subtract three from everyone's enjoyment."
All jokes aside, the simplified form of the polynomial 3x^2 - 2x - 3 would be just that - 3x^2 + 2x + 3. It's as simple as that!
The polynomial represented by the model is -2x^2 + 2x + 3.
To simplify a polynomial, you can combine like terms, which are terms that have the same variable(s) and exponent(s). In this case, the polynomial is already in its simplified form.
The polynomial represented by the model is:
-2x^2 + 2x + 3.
It is already simplified because there are no like terms that can be combined. The terms -2x^2, 2x, and 3 have different variables (x) or exponents (2) and cannot be simplified further.