Please answer the question..

Answers
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:
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).