If a polynomial 2x2 - 7x-1 is divided by (x + 3), then the remainder is (a) -4 (b)38 (c)-3 (d) 2
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Answered by
15
Answer:
38
Step-by-step explanation:
refer the attachment
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SOLUTION
TO CHOOSE THE CORRECT OPTION
If a polynomial 2x² - 7x - 1 is divided by (x + 3), then the remainder is
(a) - 4
(b) 38
(c) - 3
(d) 2
EVALUATION
Let f(x) = 2x² - 7x - 1
g(x) = x + 3
For Zero of the polynomial g(x) we have
g(x) = 0
⇒ x + 3 = 0
⇒ x = - 3
By Remainder Theorem the required Remainder when f(x) is divided by g(x) is
= f( - 3)
= 2 × ( - 3)² - 7 × ( - 3 ) - 1
= 18 + 21 - 1
= 38
FINAL ANSWER
Hence the correct option is (b) 38
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