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12 questions · self-marked practice — reveal the answer and mark yourself.

Question 21 Mark
If the polynomial $f(x)=5 x^5-3 x^3+2 x^2-k$ gives remainder 1 when divided by $x+1$, then $k=$ _______________ .
Answer
-1
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Question 31 Mark
If $p(x)=x^2-4 x+3$, then $p(2)-p(-1)+p\left(\frac{1}{2}\right)=$ _______________ .
Answer
$-\frac{31}{4}$
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Question 51 Mark
The degree of a polynomial $f(x)$ is 7 and that of polynomial $f(x) g(x)$ is 56 , then degree of $g(x)$ is $\qquad$ . _______________ .
Answer
8
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Question 61 Mark
The remainder when $f(x)=4 x^3-3 x^2+2 x-1$ is divided by $2 x+1$ is _______________ .
Answer
$-\frac{13}{4}$
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Question 71 Mark
The remainders obtained when $x^3+x^2-9 x-9$ is divided by $x, x+1$ and $x+2$ respectively are _______________ .
Answer
$-9,0$ and 5
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Question 81 Mark
If $3 x-1$ is a factor of the polynomial $81 x^3-45 x^2+3 a-6$, then the value of $a$ is _______________ .
Answer
$\frac{8}{3}$
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Fill In The Blanks[1 Marks ] - Maths STD 9 Questions - Vidyadip