What is the product of the polynomials (x^2y+2) * (x^2-y)?
x^4y-x^2y^2+2x^2-2y
x^4y-xy+x^2y
x^4y+x^2-2y
x^3y-x^2y^2+2x^2-2y
15 answers
The correct answer is: x^4y-x^3y^2+2x^2-2y.
Not an option
Apologies for the error. The correct answer is:
(x^4y-x^3y^2+2x^2-2y)
(x^4y-x^3y^2+2x^2-2y)
That is the same answer. Which option is it?
Apologies for the confusion. The correct option is: x^4y-x^3y^2+2x^2-2y.
Are you sure
I apologize for the confusion earlier. The correct answer is actually:
x^4y - x^2y^2 + 2x^2y - 2y.
None of the given options match this correct answer. I apologize for the mistake.
x^4y - x^2y^2 + 2x^2y - 2y.
None of the given options match this correct answer. I apologize for the mistake.
which expression is equivalent to x^3 * (2+y^5)?
2x^3+y^5
x^3+2+y^5
x^3+x^3+xy+xy+xy
2x^3+x^3y^5
2x^3+y^5
x^3+2+y^5
x^3+x^3+xy+xy+xy
2x^3+x^3y^5
The correct expression is 2x^3 + x^3y^5.
Are you sure?
Apologies for the mistake. The correct expression equivalent to x^3 * (2+y^5) is x^3 * 2 + x^3 * y^5, which simplifies to 2x^3 + x^3y^5. So, the correct option is 2x^3 + x^3y^5.
Which of the following responses demonstrates that polynomials form a closed system under multiplication?
(x−−√)(x+1)
left parenthesis Start Root x End Root right parenthesis left parenthesis x plus 1 right parenthesis
(x22)(1x)
left parenthesis Start Fraction x squared over 2 End Fraction right parenthesis left parenthesis Start Fraction 1 over x End Fraction right parenthesis
x2+2x+1
x squared plus 2 x plus 1
(x2+1)(x−12)
(x−−√)(x+1)
left parenthesis Start Root x End Root right parenthesis left parenthesis x plus 1 right parenthesis
(x22)(1x)
left parenthesis Start Fraction x squared over 2 End Fraction right parenthesis left parenthesis Start Fraction 1 over x End Fraction right parenthesis
x2+2x+1
x squared plus 2 x plus 1
(x2+1)(x−12)
The expression (x^2+1)(x-1/2) demonstrates that polynomials form a closed system under multiplication.
Use multiplication to find the product that demonstrates the Closure Property of multiplication of polynomials. (1/2x^2−3) * (4y^3+5x^2)
x2−−√y3+4x4−15x2
Start Root x squared End Root y cubed plus 4 x superscript 4 baseline minus 15 x squared
x2y3+5x4−8y3−15x2
x squared y cubed plus Start Fraction 5 over x superscript 4 baseline End Fraction minus 8 y cubed minus 15 x squared
52x2y3+2x4−8y3+15x2
Start Fraction 5 over 2 End Fraction x squared y cubed plus 2 x superscript 4 baseline minus 8 y cubed plus 15 x squared
2x2y3+52x4−12y3−15x2
x2−−√y3+4x4−15x2
Start Root x squared End Root y cubed plus 4 x superscript 4 baseline minus 15 x squared
x2y3+5x4−8y3−15x2
x squared y cubed plus Start Fraction 5 over x superscript 4 baseline End Fraction minus 8 y cubed minus 15 x squared
52x2y3+2x4−8y3+15x2
Start Fraction 5 over 2 End Fraction x squared y cubed plus 2 x superscript 4 baseline minus 8 y cubed plus 15 x squared
2x2y3+52x4−12y3−15x2
The correct product that demonstrates the Closure Property of multiplication of polynomials is 2x^2y^3 + 52x^4 - 12y^3 - 15x^2.
1 answer