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 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
5 answers
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
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.
(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
(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.
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.
1 answer