We have,p (x) = 3x3 + 4x2 – 5x + 8So, p (-2) = 3 (-2)3 + 4 (-2)2 – 5 (-2) + 8= 3 × -8 + 4 × 4 + 10 + 8= - 24 + 16 + 10 + 8= - 24 + 34= 10

Q1 of 274 Page 91

Let Find p(-2).

We have,

p (x) = 3x³ + 4x² – 5x + 8

So, p (-2) = 3 (-2)³ + 4 (-2)² – 5 (-2) + 8

= 3 × -8 + 4 × 4 + 10 + 8

= - 24 + 16 + 10 + 8

= - 24 + 34

= 10

Match the following columns:

Column I	Column II
(a) If p (x) = x³ – 2x² + 3x + 1 is divided by (x + 1), then remainder = ……	(p)
(b) If (2x – 1) is a factor of q (x) = x³ + 2x² + 3x + k then k = ……	(q) 50
(c) The degree of the constant polynomial (-5) is = ……	(r) – 1
(d) When x⁵¹ + 51 is divided by (x + 1), the remainder is = ……	(s) 0

The correct answer is:

(a)-……., (b)-……., (c)-……., (d)-…….,

Match the following columns:

Column I	Column II
(a) If p (x) = 81x⁴ + 54x³ - 9x² – 3x + 2 is divided by (3x + 2), then remainder = ……	(p) 1
(b) p (x) = ax³ + 3x² – 3 and q (x) = 2ax³ – 5x + a divided by (x – 4) leave the same remainder. Then, a = …..	(q) -7
(c) If p (x) = 7x² - 4x + c is completely divisible by (x - ), then c = …..	(r) 0
(d) If q (x) = 2x³ + bx² + 11x + b + 3 is divisible by (2x – 1), then b = …..	(s) – 6

The correct answer is:

(a)-……., (b)-……., (c)-……., (d)-…….,

Find the remainder when p (x) = 4x³ + 8x² – 17x + 10 is divided by (2x – 1).

If (x – 2) is a factor of 2x³ – 7x² + 11x + 5a, find the value of a.