According to the Distributive Property, which expression is equivalent to 4x3+8x2+12x
?(1 point)
Responses
4x(x2+2x+3)
4 x left parenthesis x squared plus 2 x plus 3 right parenthesis
(2x2+4)(2x2+3)
left parenthesis 2 x squared plus 4 right parenthesis left parenthesis 2 x squared plus 3 right parenthesis
4x(4x+5x)
4 x left parenthesis 4 x plus 5 x right parenthesis
(2x2+4)(2x−3)
The correct expression that is equivalent to 4x3+8x2+12x according to the Distributive Property is:
4x(x2+2x+3)
Which of the following simplifies to the same expression as 4x2−3x2+5x−24
?(1 point)
Responses
4x(x−6)
4 x left parenthesis x minus 6 right parenthesis
2(x−12)
2 left parenthesis x minus 12 right parenthesis
(x+6)(x−4)
left parenthesis x plus 6 right parenthesis left parenthesis x minus 4 right parenthesis
(x+8)(x−3)
The correct expression that simplifies to the same expression as 4x2−3x2+5x−24 is:
(x+6)(x−4)
Add the polynomial expressions 5z−2z2−4z+5
and 6z2+3−7z
.(1 point)
Responses
4z2−z+8
4 z squared minus z plus 8
9z2−11z+8
9 z squared minus 11 z plus 8
4z2−6z+8
4 z squared minus 6 z plus 8
11z2+z−2
The correct sum of the polynomial expressions 5z−2z2−4z+5 and 6z2+3−7z is:
4z2−11z+8
Which of the following correctly simplifies (9x2+17x+13)−(2x2+12x+11)
?(1 point)
Responses
7x2+5x+2
7 x squared plus 5 x plus 2
7x2+29x+24
7 x squared plus 29 x plus 24
12x2+2
12 x squared plus 2
9x2+17x+13−2x2−12x−11
The correct simplification of (9x^2+17x+13)−(2x^2+12x+11) is:
7x^2+5x+2