Question

What polynomial must be added to 3x^2 +4x + 7 to obtain a sum of 0?

Answer 1

Answer:

$- 3x^2 - 4x - 7$

Step-by-step explanation:

Let A should be added in the given polynomial to obtain a sum of zero.

Therefore,

$A + 3 {x}^{2} + 4x + 7= 0 \\ \\ A = 0 - (3 {x}^{2} + 4x + 7 ) \\ \\ A = 0 - 3 {x}^{2} - 4x - 7 \\ \\ A = - 3 {x}^{2} - 4x - 7$

Thus, $- 3 {x}^{2} - 4x - 7$ should be added in the given polynomial to obtain a sum of zero.

Answer 2

The polynomial which must be added to 3x² +4x + 7 to obtain a sum of 0 is; -3x² -4x +7.

Let the polynomial which must be added to 3x² +4x + 7 to obtain a sum of 0 be represented by P.

In essence;

• P + 3x² +4x + 7 = 0.

By subtracting 3x² +4x + 7 from both sides of the equation to obtain the value of P; we have;

• P = 0 -3x² -4x +7.

Ultimately, P = -3x² -4x +7.

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