Question

when a polynomial p(x) =4x^2 - x + a is divided by x+2 , the remender obtained is three times value of a. find a​

Answer 1

Answer:

a=18

Step-by-step explanation:

p(-2):-4*-2^2-2+a=0

16+2+a=0

a=-18

Answer 2

Answer:

The value of a is 9.

Given:

• p(x) = 4x² - x + a
• when p(x) is divided by (x + 2), the remainder is 3a.

To Find:

• The value of a.

Solution:

by remainder theorem, if we divide p(x) by (x + y ), the remainder is p(-y).

Here, 2 corresponds with y.

so, p(-2) = remainder

p(x) = 4x² - x + a

p(-2) = 4(-2)² - (-2) + a

= 4(4) + 2 + a

= 16 + 2 + a

= 18 + a

18 + a is the remainder

➞ 18 + a = 3a (Given)

➞ 18 = 3a - a

➞ 18 = 2a

➞ 9 = a

Value of a = 9