Multiply the polynomial (b+8)(3b−6) to simplify.(1 point)
Responses
b2+18b−36
b squared plus 18 b minus 36
3b2+30b−48
3 b squared plus 30 b minus 48
3b2+18b−48
3 b squared plus 18 b minus 48
b2+30b−48
b2+18b−36
What is the product of the polynomials (x2y+2)(x2−y)?(1 point)
Responses
x3y−x2y2+2x2−2y
x cubed y minus x squared y squared plus 2 x squared minus 2 y
x4y+x2−2y
x superscript 4 baseline y plus x squared minus 2 y
x4y−xy+x2y
x superscript 4 baseline y minus x y plus x squared y
x4y−x2y2+2x2−2y
x superscript 4 baseline y minus x squared y squared plus 2 x squared minus 2 y
x4y−x2y2+2x2−2y
Which expression is equivalent to x3(2+y5)?(1 point)
Responses
x3+x3+xy+xy+xy
x cubed plus x cubed plus x y plus x y plus x y
2x3+x3y5
2 x cubed plus x cubed y superscript 5 baseline
2x3+y5
2 x cubed plus y superscript 5 baseline
x3+2+y5
2x3+y5
Which of the following responses demonstrates that polynomials form a closed system under multiplication?(1 point)
Responses
(x2+1)(x−12)
left parenthesis x squared plus 1 right parenthesis left parenthesis x minus Start Fraction 1 over 2 End Fraction right parenthesis
(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
(x2+1)(x−12)
Use multiplication to find the product that demonstrates the Closure Property of multiplication of polynomials.
(12x2−3)(4y3+5x2)
(1 point)
Responses
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
x2−−√y3+4x4−15x2
Start Root x squared End Root y cubed plus 4 x superscript 4 baseline minus 15 x squared
2x2y3+52x4−12y3−15x2
2 x squared y cubed plus Start Fraction 5 over 2 End Fraction x superscript 4 baseline minus 12 y cubed minus 15 x squared
52x2y3+2x4−8y3+15x2