The sum of each of the 4 polynomials and their answers are respectively;
12x² + 3x + 6 + (-7x²) – 4x – 2 = 5x² - x + 4
(2x² - x) + (-x – 2x² – 2) = -2x - 2
(x³ + x² + 2) + (x² – 2 - x³) = 2x²
(x² + x) + (x² + 8x - 2) = 2x²+ 9x - 2
1) We want to find the sum of the polynomials (12x² + 3x + 6) and (-7x² – 4x – 2). Thus, we have;
12x² + 3x + 6 + (-7x²) – 4x – 2
= 5x² - x + 4
2) We want to find the sum of the polynomials (2x² - x) and (-x – 2x² – 2). Thus, we have;
(2x² - x) + (-x – 2x² – 2)
= -2x - 2
3) We want to find the sum of the polynomials (x³ + x² + 2) and (x² – 2 - x³). Thus, we have;
(x³ + x² + 2) + (x² – 2 - x³)
= 2x²
4) We want to find the sum of the polynomials (x² + x) and (x² + 8x - 2). Thus, we have;
(x² + x) + (x² + 8x - 2) = 2x²+ 9x - 2
The sum of each of the 4 polynomials and their answers are respectively;
12x² + 3x + 6 + (-7x²) – 4x – 2 = 5x² - x + 4
(2x² - x) + (-x – 2x² – 2) = -2x - 2
(x³ + x² + 2) + (x² – 2 - x³) = 2x²
(x² + x) + (x² + 8x - 2) = 2x²+ 9x - 2
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