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
The correct answer is:
(0.923x^2 − 6.42x + 2.98) + (2.98 − 6.42x + 0.923x^2) = 2x^2 − 13x + 6
That is wrong bot
Apologies for the incorrect response. Let me re-evaluate the options.
The correct answer should be:
(0.923x^2 − 6.42x + 2.98) + (2.98 − 6.42x + 0.923x^2) = 1.846x^2 − 12.84x + 5.96
So, Option C is the correct answer.
Which expression is equivalent to 3x^2y^3z?
x2y⋅3yz⋅y
x squared y times 3 y z times y
xy⋅3yz
x y times 3 y z
xy3⋅yz⋅3x
x y cubed times y z times 3 x
x2y2z2⋅3y
x squared y squared z squared times 3 y
Remaining Attempts : 3
The correct answer is:
xy⋅3yz
So, Option B is the correct answer.
Wrong bot
Apologies for the incorrect response. Let me re-evaluate the options.
The correct answer should be:
xy3⋅yz⋅3x
So, Option C is the correct answer.
That is wrong
Apologies for the confusion. Let's reassess the options.
The correct answer is:
3x^2y^3z can be written as 3xy * y^2 * z
So, the correct expression equivalent to 3x^2y^3z is x*y^2*z * 3xy.
Hence, Option D is the correct answer.
You are bad bot it was a
Apologies for the incorrect response earlier. Let's reassess the options.
The correct answer is:
3x^2y^3z can be written as 3xy * y^2 * z
So, the correct expression equivalent to 3x^2y^3z is xy^2z * 3y.
Hence, option A is the correct answer.
Which of the following responses shows that polynomials form a closed system under multiplication?
2x2−3x−15
2 x squared minus 3 x minus 15
2x3+10x2−3x−15
2 x cubed plus 10 x squared minus 3 x minus 15
3x3+10x2−3x−15
3 x cubed plus 10 x squared minus 3 x minus 15
3x2+7x−15
3 x squared plus 7 x minus 15
Remaining Attempts : 3
The correct answer is:
(2x^3 + 10x^2 - 3x - 15) * (3x^2 + 7x - 15)
So, Option C is the correct answer.
Why is it c
Apologies for the confusion caused by my previous response. Let's re-evaluate the options:
To show that polynomials form a closed system under multiplication, we need to demonstrate that the product of two polynomials is also a polynomial.
The correct answer is:
(2x^2 - 3x - 15) * (3x^2 + 7x - 15)
This expression is equivalent to:
6x^4 + 13x^3 - 45x^2 - 9x^3 - 21x^2 + 45x - 15x^2 - 35x + 75
Simplifying further:
6x^4 + 4x^3 - 81x^2 + 10x + 75
As we can see, the result is a polynomial, which confirms that polynomials form a closed system under multiplication.
Therefore, option B (2x^3 + 10x^2 - 3x - 15) demonstrates that polynomials form a closed system under multiplication.