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Answers
Answer:
Here's the answer:
Step-by-step explanation:
(5) -1
(6) True
(7) The Remainder Theorem states that if a polynomial f (x) is divided by (x - k) then the remainder r = f (k). It can assist in factoring in more complex polynomial expressions. The Factor Theorem states that a polynomial f (x) has a factor (x - k) if and only f (k) = 0. It is a special case of the Remainder Theorem where the remainder = 0.
(8) 0.666666666...
(9) Find the zero of the polynomial in the following case:- p (x) = cx + d, c ≠ 0, c, d are real numbers. Therefore, for x = -d/c, the value of the polynomial is 0 and hence, x = -d/c is a zero of the given polynomial.
(10) Answer: If p (x) is a polynomial of degree n which is greater than or equal to one and a is any real number which will be the divisor, then there will be two conditions fulfilled: If p (a) =0, then x-a is a factor of that polynomial p (x). x-a would be the factor of the polynomial if the r (x) i.e. remainder is 0.
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