Subtract 9a² – 15a + 3 from unity.

How much does 93p² – 55p + 4 exceed 13p³ – 5p² + 17p – 90?

To what expression must 99x³ – 33x² – 13x – 41 be added to make the sum zero?

Find the values of the following polynomials at a = – 2 and b = 3:

(a) a² + 2ab + b²

(b) a² – 2ab + b²

(c) a³ + 3a²b + 3ab² + b³

(d) a³ – 3a²b + 3ab² – b³

(e)

(f)

(g)

(h) a² + b² – ab – b² – a²

Find the values of following polynomials at m = 1, n = –1 and p = 2:

(a) m + n + p

(b) m² + n² + p²

(c) m³ + n³ + p³

(d) mn + np + pm

(e) m³ + n³ + p³ – 3mnp

(f) m²n² + n²p² + p²m²