Question

4x^3+12x^2+3x+9

Answer 1

what is the thing between x and 3

Answer 2

\[4x ^{3}+12x ^{2}+3x+9\]

Answer 3

I would like to know HOW to do this, suggestions?

Answer 4

Simplifying
4x4 + -12x2 + 9 = 0

Reorder the terms:
9 + -12x2 + 4x4 = 0

Solving
9 + -12x2 + 4x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(3 + -2x2)(3 + -2x2) = 0

Subproblem 1Set the factor '(3 + -2x2)' equal to zero and attempt to solve:

Simplifying
3 + -2x2 = 0

Solving
3 + -2x2 = 0

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + -2x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x2 = 0 + -3
-2x2 = 0 + -3

Combine like terms: 0 + -3 = -3
-2x2 = -3

Divide each side by '-2'.
x2 = 1.5

Simplifying
x2 = 1.5

Take the square root of each side:
x = {-1.224744871, 1.224744871}
Subproblem 2Set the factor '(3 + -2x2)' equal to zero and attempt to solve:

Simplifying
3 + -2x2 = 0

Solving
3 + -2x2 = 0

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + -2x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x2 = 0 + -3
-2x2 = 0 + -3

Combine like terms: 0 + -3 = -3
-2x2 = -3

Divide each side by '-2'.
x2 = 1.5

Simplifying
x2 = 1.5

Take the square root of each side:
x = {-1.224744871, 1.224744871}Solutionx = {-1.224744871, 1.224744871, -1.224744871, 1.224744871}

Answer 5

64+144+3+9+=217

Answer 6

how would you simplify it instead of solving it?

Answer 7

you would do as exactly as she did lovey

Answer 8

@lovepink97

Answer 9

would that be the same as factoring?

Answer 10

\[4x^3+12X^2+3x+9 = (x+3)(4x^2+3)\]

Answer 11

tnx!