Find the expression that is equivalent to 3x^2+2x−5x−2x^2+2.
(3x+2)(x+1)
left parenthesis 3 x plus 2 right parenthesis left parenthesis x plus 1 right parenthesis
(x+1)(x+2)
left parenthesis x plus 1 right parenthesis left parenthesis x plus 2 right parenthesis
(x−2)(x−1)
left parenthesis x minus 2 right parenthesis left parenthesis x minus 1 right parenthesis
(x+2)(x−2)
left parenthesis x plus 2 right parenthesis left parenthesis x minus 2 right parenthesis
Remaining Attempts : 3
Since the expression is 3x^2+2x−5x−2x^2+2, we can simplify by combining like terms:
3x^2+2x−5x−2x^2+2
Simplifying the terms with x^2:
(3x^2 - 2x^2) + 2x−5x+2
Simplifying the terms with x:
x^2 - 3x + 2
So, the equivalent expression is x^2 - 3x + 2, which can be factored as:
(x-2)(x-1)
Therefore, the correct answer is (x-2)(x-1).
Find the sum. (4p−2p^2+8)+(5p^2+2p)+(7−3p)
5p2+p+15
5 p squared plus p plus 15
3p2+6p+15
3 p squared plus 6 p plus 15
−2p2+8p+15
negative 2 p squared plus 8 p plus 15
3p2+3p+15
3 p squared plus 3 p plus 15
Remaining Attempts : 3
To find the sum, we need to combine like terms:
(4p−2p^2+8)+(5p^2+2p)+(7−3p)
Combining the terms with p^2:
(-2p^2 + 5p^2) + 4p+2p +7-3p
Simplifying:
3p^2 + 3p + 7
So, the sum is 3p^2 + 3p + 7.
Which of the following shows that polynomials are a closed system under addition?
(0.923x2−6.42x+2.98)+(2.98−6.42x+0.923x2)=2x2−13x+6
left parenthesis 0.923 x squared minus 6.42 x plus 2.98 right parenthesis plus left parenthesis 2.98 minus 6.42 x plus 0.923 x squared right parenthesis equals 2 x squared minus 13 x plus 6
(0.923x2−6.42x+2.98)+(2.98−6.42x+0.923x2)=3.903x2−12.84x+3.903
left parenthesis 0.923 x squared minus 6.42 x plus 2.98 right parenthesis plus left parenthesis 2.98 minus 6.42 x plus 0.923 x squared right parenthesis equals 3.903 x squared minus 12.84 x plus 3.903
(0.923x2−6.42x+2.98)+(2.98−6.42x+0.923x2)=1.846x2−12.84x+5.96
left parenthesis 0.923 x squared minus 6.42 x plus 2.98 right parenthesis plus left parenthesis 2.98 minus 6.42 x plus 0.923 x squared right parenthesis equals 1.846 x squared minus 12.84 x plus 5.96
(0.923x2−6.42x+2.98)+(2.98−6.42x+0.923x2)=10.994x2+5.96
left parenthesis 0.923 x squared minus 6.42 x plus 2.98 right parenthesis plus left parenthesis 2.98 minus 6.42 x plus 0.923 x squared right parenthesis equals 10.994 x squared plus 5.96
Remaining Attempts : 3
To show that polynomials are a closed system under addition, we need to demonstrate that adding two polynomials results in another polynomial.
Let's consider the options:
(0.923x^2−6.42x+2.98)+(2.98−6.42x+0.923x^2)=2x^2−13x+6
This option demonstrates that adding the two polynomials results in another polynomial, so it shows that polynomials are a closed system under addition. Therefore, the correct answer is (0.923x^2−6.42x+2.98)+(2.98−6.42x+0.923x^2)=2x^2−13x+6.
To find the expression that is equivalent to 3x^2+2x−5x−2x^2+2, we can simplify the terms.
First, let's combine the like terms:
3x^2 - 2x^2 = x^2
2x - 5x = -3x
Now, let's rewrite the expression:
x^2 - 3x + 2
Therefore, the expression that is equivalent to 3x^2+2x−5x−2x^2+2 is x^2 - 3x + 2.
To simplify the given expression, we need to combine like terms. Like terms are terms that have the same variable and exponent.
The given expression is: 3x^2+2x−5x−2x^2+2
To begin, let's group the like terms together:
(3x^2 - 2x^2) + (2x - 5x) + 2
Simplifying, we have:
x^2 - 3x + 2
So, the equivalent expression is x^2 - 3x + 2.
If you want to understand how to simplify expressions, here are the steps:
1. Look for any like terms (terms with the same variable and exponent).
2. Combine the like terms by adding or subtracting their coefficients.
3. If there are no like terms left, then simplify the expression.
In this case, we combined the like terms 3x^2 and -2x^2, and the like terms 2x and -5x. After combining, there were no more like terms left, so we stopped there.
If you have any other questions, feel free to ask!