Question

Find the remainder of the following problems using Remainder Theorem.

( 2x² - 7x + 3 ) Divided by ( x - 3 )

choices:

o 6
o 2
o 1
o 0

Answer 1

Step-by-step explanation:

x - 3 = 0

x = 3

putting the value of 3 in the place of x

Answer 2

ANSWER:

Given:

p (x) [Dividend] = (2x² - 7x + 3)

g (x) [Divisor] = (x - 3)

To Find:

r (x) [Remainder] using the Remainder Theorem -

SOLUTION:

To find the Remainder of p (x) using the Remainder Theorem,

Let g (x) = 0

=> x - 3 = 0 => ∴ x = 3 [Zero of p (x)]

Substituting x = 3 in the Polynomial p (x) = $(2x^2 - 7x + 3)$ ,

$[2(3)^2 - 7 (3) + 3]\\\\:=> 2(9) - 21 + 3\\\\:=> 18 - 21 + 3\\\\:= 0$

CONCLUSION:

∴ p (3) = 0 is the Required r (x) [Remainder] of p (x)