Adding and Subtracting Polynomials
By C Adams
Simplify. Write your answer in decreasing degree of the first variable.
(3x4 + 4x3 – x2 + x – 5) + (5x4 – 8x3 + 4x2 + 2x + 4)
x4 – x2 + 4 + 3x3 – 4x2 – x
(5x3 + 7x2 – 2x – 7) – (x3 + 3x2 + 6x – 7)
7a2b – 3ab2 + a3 – 4ab2
(8a3b + 6a2b2 – 4ab3) – (5a2b2 + 3ab3)
(12r3t3 – 11r2t3 + 15rt3) – (21r4t3 – 12r3t3 – 11r2t3)
7 – x5y2 – 3xy4 + x3y3 – 15 + 2xy4 – x5y2 + x4y5
(13r5 + 12r3 – r2 – r) + (r5 – 9r4 + 5r3 – 10r)
(12a3 – 7a2 + 2a) – (8a3 + 5a2 – a) + (2a2 – a + 15)
(11c + 5c2 – 7) – (12 – 8c + c2) – (4c2 – 12 + 14c)