Factor out the largest possible common factor.21y3 - 6y2 + 12y

A. 3y(7y3 - 2y2 + 4y)
B. 3(7y3 - 2y2 + 4y)
C. y(21y2 - 6y + 12)
D. 3y(7y2 - 2y + 4)


Answer: D

Mathematics

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The scalar function div(grad f) = ? ? ? f (also written ?2f) is called the Lapalacian, and the function f satisfying ?2f = 0 is said to be harmonic.  ?2f = fxx + fyy + fzz. Find ?2f for the following function and decide if it is harmonic.f(x, y, z) = x2y2z2

A. harmonic B. not harmonic

Mathematics

Rewrite the polynomial in descending order.-10 + 8x2 + 6x6 - 4x3 + x

A. 6x6 - 4x3 + 8x2 + x - 10 B. -10 + 8x2 + 6x6 - 4x3 + x C. 6x6 + x - 4x3+ 8x2 - 10 D. -10 + x + 8x2 - 4x3 + 6x6

Mathematics

Match the graph with its equation.y = 5x - 4

A.

B.

C.

D.

Mathematics

Simplify. Assume that all variables represent positive real numbers.

A.
B.
C.
D.

Mathematics