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Answer:
a = 2
b = –2
Note:
• Remainder theorem : If a polynomial is divided by (x - a) , then the remainder is given as : Remainder , R = p(a).
• Factor theorem : (i) If (x - a) is a factor of any polynomial p(x) , then the remainder is zero when p(x) is divided by (x - a) , ie ; p(a) = 0.
(ii) If the remainder obtained on dividing a polynomial p(x) by (x - a) is zero , ie ; if p(a) = 0 , then (x - a) is a factor of polynomial p(x) .
Explaination:
Please refer to the attachment.