What is the factorization of the trinomial below? 3x^3-18x^2+24x a. 3x(x-2)(x-4) b. 3(x-2)(x+4) c. 3(x^2-2)(x+4) d. 3x(x-2)(x+4)

3x^3 - 18x^2 + 24x

We can factor a 3x from each term.

3x(x^2 - 6x + 8)

Now, we can factor the trinomial even further.

Split the middle term.

3x(x^2 - 2x - 4x + 8)

3x(x(x - 2) - 4(x - 2)

3x(x - 4)(x - 2) is the fully factored form of the trinomial.

answer:

given the linear inequality :

add 2y to both sides we get;

simplify:

add 12 to both sides of an equation;

simplify:

divide both sides by 2 we get;

or

the related equation for the inequality equation [1] is;

y-intercepts defined as the graph crosses the y-axis.

substitute x =0 in [2] to solve for y;

y = 6

x-intercepts defined as the graph crosses the x-axis.

substitute value y = 0 to solve for x;

subtract 6 from both sides we get

multiply both sides by 2 we get;

or

x = -12

now, plot these point (0, 6) and (-12, 0) on graph as shown below and shade the graph below the solid line.

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step-by-step explanation:

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