Question

What should be added to 12x3 – 5x2 + 2x + 12 to get - 9x3 + 3x - 6?

Answer 1

Answer:

36-10+2x+12

Step-by-step explanation:

12+10-x-18

Answer 2

"- 21$x^3$ + 5$x^2$ + x - 18" should be added to 12$x^3$ – 5$x^2$ + 2x + 12 to get - 9$x^3 .$+ 3x - 6.

Step-by-step explanation:

Let a should be added.

To find, the value of what number should be added.

According to question,

12$x^3$– 5$x^2$ + 2x + 12 + a = - 9$x^3$ + 3x - 6

⇒ a = - 9$x^3$ + 3x - 6 - (12$x^3$– 5$x^2$ + 2x + 12)

⇒ a = - 9$x^3$ + 3x - 6 - 12$x^3$ + 5$x^2$ - 2x - 12

⇒ a = - 21$x^3$ + 5$x^2$ + x - 18

∴ - 21$x^3$ + 5$x^2$ + x - 18 should be added.

Thus, "- 21$x^3$ + 5$x^2$ + x - 18" should be added to 12$x^3$ – 5$x^2$ + 2x + 12 to get - 9$x^3 .$+ 3x - 6.