Question

Find a polynomial which, when added to the polynomial 3x^2+3x-1, is equivalent to the following expressions: 1, 2x^2-3, and x+5

Answer 1

The polynomials which, when added to the polynomial 3x²+3x-1, is equivalent to the following expressions: 1, 2x²-3, and x+5 are respectively;

• P = 2 - 3x² -3x.
• P = -2 -x² -3x
• P = 6 -2x -3x².

Addition of polynomials

For the expression; 1; we have;

• 3x²+3x-1 + P = 1.

P = 2 - 3x² -3x.

For the expression; 2x²-3; we have;

• 3x²+3x-1 + P = 2x²-3

P = -2 -x² -3x

For the expression; x +5; we have;

• 3x²+3x-1 + P = x +5

P = 6 -2x -3x².

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