Question

Find the remainder, when x⁴+4x³ - 5x² - 6x +7 is divided by x-1 .
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Answer 1

Answer:

the answer is x³+5x²-6 with reminder 1

Answer 2

Given:-

Find the remainder, when x⁴ + 4x³ - 5x² - 6x + 7 is divided by x - 1 .

To Find:-

We should have to find the answer by Factor Theorem (Don't write this line into your Notes).

Solution:-

Given,

f(x) = x⁴+ 4x³ - 5x² - 6x + 7.

• x - 1 = 0
• x = + 1.

Remainder is f(1).

$\bf\ f(1) = x⁴ + 4x³ - 5x² - 6x + 7$

$\bf\ ⇒ 1⁴ + 4(1)³ - 5(1)² - 6(1) + 7$

$\bf\ ⇒ 1 + 4(3) - 5(2) - 6 + 7$

$\bf\ ⇒ 1 + 12 - 10 - 6 + 7$

$\bf\ ⇒ 20 - 16$

$\bf\ ⇒ \: 4.$

∴Hence, The Answer is 4.