6.1 - Adding and Subtracting Polynomials

Adding Polynomials

100

(8x³ + 5x² + 3x) + (9x⁴ + 3x² + 2x) = ?

 What is (9x⁴ + 8x^{3 +} 8x² + 5x) ?

200

(5x⁸ + 12x² + 3x) + (8x³ + 5x² + x) = ?

What is (5x⁸ + 8x³ + 17x² + 4x) ?

300

(7x³ + 8x² + 6x) + (5x⁴ + 4x³ + 5x) = ?

What is (5x⁴ + 11x³ + 8x² + 11x) ?

400

(12x³ + 8x² + x) + (13x⁴ + 5x² + x) = ?

What is (13x⁴ + 12x³ + 13x² + 2x) ?

500

(12x⁸ + 3x³ + 4x) + (10x⁸ + 3x² + 2x) = ?

What is (22x⁸ + 3x³ + 3x² + 6x) ?

Subtracting Polynomials

100

(15xy + 6x + 4y + z + 1) - (11 + 3x + 8xy + y) = ?

What is (7xy + 3x + 3y + z -10) ?

200

(7c³d² + 2bc² + ab) - (-4c³d² + ab - 7bc²d) = ?

What is (11c³d² + 2bc² -7bc²d) ?

300

(7w³ - v⁴ + 9u³) - (7w³ - 5uv + 2v⁴ - u³ - v⁴) = ?

What is (-3v⁴ + u⁴ + 10u³ + 5uv) ?

400

(-8gh³ - 20g⁵n - 2) - (-12g⁵n - 3g - 35gn³ - 32) = ?

What is (27gn³ - 8g⁵n + 3g + 30) ?

500

(4s²t³ - 6s -18 - s²t²u²) - (s²t²u² - 4s²t³ - 14) = ?

What is (-2s²t²u² - 6s - 4) ?

Adding Polynomials

100

(3y² + x) + (5y³ + x) = ?

What is (5y³ + 3y² + 2x) ?

200

(4y³ + 2x) + (8y³ + 4x²) = ?

What is (12y³ + 4x² + 2x) ?

300

(8x⁶ + 5y⁴) + (9x⁶ + 3y⁴) = ?

What is (17x⁶ + 8y⁴) ?

400

(4xy² + 3x) + (5xy² + 9x) = ?

What is (9x² + 12x) ?

500

(8y² + x) + (7y³ + x²) =?

What is (7y³ + 8y² + x² + x) ?

Subtracting Polynomials

100

(3 - 6n⁵ - 8n⁴) - (-6n⁴ -3n - 8n⁵) = ?

What is (2n⁵ - 2n⁴ + 3n + 3) ?

200

(3v⁵ + 8v³ -10v²) - (-12v⁵ + 4v³ + 14v²) = ?

What is (15v⁵ + 4v³ - 24v²) ?

300

(4x² + 7x³y²) - (-6x² - 7x³y² - 4x) - (10x - 9x²) = ?

What is (x² + 14x³y² - 6x) ?

400

(d⁵ - 7d² + 4) - (2d⁵ - 5 + 8d²) + (9d² - 3d - 6) = ?

What is (-d⁵ - 6d² - 3d + 3) ?

500

-(3z² + 4x) - (6z² - z) = ?

What is (-9z² - 4z + 2) ?

Adding Polynomials

100

(6z + 7y + 8x) + (5z + 4y + 3x) = ?

What is (11z + 11y + 11x) ?

200

(3z⁸ + 4y² + x³) + (5z⁸ + 3y² + 8x) = ?

What is (8z⁸ + 7y² + x³ + x) ?

300

(4z⁶ + 3y⁵ + x²) + (8z³ + 5y⁵ + x⁴ + x²) = ?

What is (4z⁶ + 8z³ + 8y⁵ + x⁴ + 2x²) ?

400

(11z² + 4y² + 3y + x) + (10z² + 5y² + x³ + x) = ?

What is (21z² + 9y² + 3y + x³ + 2x) ?

500

(11z⁴ + 12z³ + 11y² + x) + (z + 8y³ + y² + x) = ?

What is 11z⁴ + 12z³ + z + 8y³ + 12y² + 2x ?