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?.
Posted by Moksha 9A 2 years, 9 months ago
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