Question

PART1

Simplify completely: the quantity 5 times x to the third power plus 10 times x to the 2nd power plus 15 times x all over 5 times x

a.x^2 + 10x^2 + 15x

b.2x + 6

c.x^2 + 2x + 3

d.x^4 + 2x^3 + 3x^2



PART2
Simplify completely: the quantity 3 times x to the 4th power plus 5 times x to the 2nd power plus 2 times x all over x

a.the quantity 3 times x to the third power plus 5 times x plus 2 all over x

b.3x^3 + 5x + 2

c.3x^2 + 5x^2 + 2x

d.3x^5 + 5x^3 + 2x^2

Answer 1

Part 1:
`(5x^(3) + 10x^(2) + 15x)/(5x) = (5x^(3))/(5x) + (10x^(2))/(5x) + (15x)/(5x) = x^(2) + 2x + 3`
The answer is C.

Part 2:
`(3x^(4) + 5x^(2) + 2x)/(x) = (3x^(4))/(x) + (5x^(2))/(x) + (2x)/(x) = 3x^(3) + 5x + 2`
The answer is A.