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If f(x)=2? - + +12,find (i)f(92) …

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If f(x)=2? - + +12,find (i)f(92) (ii) f(-3) (iii) f(0). 3 13? 2 17? 2. If x=2 is a root of the polynomial f(x)= 2? - 2 3? + 7?, ???? ?ℎ? ????? ?? ?. 3. If x=-½ is a zero of the polynomial p(x)=8? - -x+2,find the value of a. 3 ?? 2 4. Find the zeros of the polynomial in each of the following cases. (i) f(x)=x-5 (ii)g(x)=2x+5 (iii)p(x)=cx+d,c≠0. 5. If x=2 and x=0 are roots of the polynomial f(x)=2? - +ax+b. Find the 3 5? 2 values of a and b. 6. If x=0 and x=-1 are the roots of the polynomial f(x)=2? - +ax+b, find 3 3? 2 the value of a and b. 7. Find the remainder when the polynomial f(x)=2? - + -x+2, is divided 4 6? 3 2? 2 by x+2. 8. Find the remainder when p(x)=4? - +14x-3, is divided by g(x)=x-½. 3 12? 2 9. Find the remainder when f(x)= ? 3 − 6? 2 + 2? − 4, ?? ??????? ?? ?(?) = 3? − 1. 10. The polynomials ?? + -13 and -5x+a are divided by x+2. If the 3 3? 2 2? 3 remainder in each case is the same, find the value of a. 11. Let ? and are the remainders when the polynomials + -5ax-7 1 ? 2 ? 3 2? 2 and ? -12x+6 are divided by x+1 and x-2 respectively. 3 + ?? 2 If 2 ? + =6, find the value of a. 1 ? 2 12. In each of the following, use factor theorem to find whether polynomial g(x) is a factor of polynomial f(x) or, not: (i) f(x)=? : g(x)= x-3 3 − 6? 2 + 11? − 6 (ii) f(x)=3? :g(x)=3x-2 3 + ? 2 − 20? + 12 13. Find the value of a, if x+2 is a factor of 4? 4 + 2? 3 − 3? 2 + 8? + 5?.
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