Question

Please answer the question..​

Answer 1

Answer:

-2

Explanation:

Given polynomial,

⇒ p(x) = 4x³ - 4x² - x - 1

Which is to be divided by g(x) = 2x + 1

Zero of the polynomial g(x),

⇒ 2x + 1 = 0

⇒ 2x = -1

⇒ x = -½

Substituting the value of ‘x’ in p(x)

⇒ p(-½) = 4(-½)³ - 4(-½)² - (-½) - 1

⇒ 4(-⅛) - 4(¼) + ½ - 1

⇒ - ½ - 1 + ½ - 1

⇒ -2

Hence, the remainder of given p(x) ÷ g(x) is -2

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Remainder theorem :- When a polynomial p(x) is divided by a linear polynomial g(x) whose zero is x = a, the remainder is given by r = p(a).

Answer 2

Answer:

Hi dear blink I am a blink too hope this answer helps you

Step-by-step explanation:

Given polynomial,

⇒ p(x) = 4x³ - 4x² - x - 1

Which is to be divided by g(x) = 2x + 1

Zero of the polynomial g(x),

⇒ 2x + 1 = 0

⇒ 2x = -1

⇒ x = -½

Substituting the value of ‘x’ in p(x)

⇒ p(-½) = 4(-½)³ - 4(-½)² - (-½) - 1

⇒ 4(-⅛) - 4(¼) + ½ - 1

⇒ - ½ - 1 + ½ - 1

⇒ -2

Hence, the remainder of given p(x) ÷ g(x) is -2

___________________

Remainder theorem :- When a polynomial p(x) is divided by a linear polynomial g(x) whose zero is x = a, the remainder is given by r = p(a).