Madhya Pradesh Police Exam Model Paper 9

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Question : 72 of 100

Marks: +1, -0

If

7x^4 - 6x^3 + 8x^2 - 20x - 300

is divided by

x + 2

, then the remainder is:

68
-68
-244
-212

Solution:

Given:
The given polynomials

=7x^4 - 6x^3 + 8x^2 - 20x - 300

Calculation:
If

7x^4 - 6x^3 + 8x^2 - 20x - 300

is divided by

x + 2

, then

x + 2 = 0

⇒ x = (-2)

Put

x = (-2)

in the given polynomials.

7 × (-2)^4 – 6 × (-2)^3 + 8 × (-2)^2 – 20 × (-2) – 300

⇒ 7 × 16 – 6 × (-8) + 8 × 4 + 40 – 300

⇒ 112 + 48 + 32 + 40 – 300

⇒ 232 – 300

⇒ - 68

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