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

Q64 of 100 Page 312

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

99x³ – 33x² – 13x – 41

To make the sum zero we can just add the negative of any expression to the expression

= -99x³ + 33x² + 13x + 41

How much is y⁴ – 12y² + y + 14 greater than 17y³ + 34y² – 51y + 68?

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

Subtract 9a² – 15a + 3 from unity.

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

(a) a² + 2ab + b²

(b) a² – 2ab + b²

(d) a³ – 3a²b + 3ab² – b³

(e)

(f)

(g)

(h) a² + b² – ab – b² – a²