====== Question 1, Review Exercise ======
Solutions of Question 1 of Review Exercise of Unit 05: Polynomials. This is unit of Model Textbook of Mathematics for Class XI published by National Book Foundation (NBF) as Federal Textbook Board, Islamabad, Pakistan. 




=====Question 1=====

Select the best matching option.
Chose the correct option.\\
i.    Factors of $-2-x+x^{2}$ are:\\
    * (a) $(x-2)(x-1)$\\ 
    * (b) $(x+1)(x+2)$\\
    * %%(c)%% $(x+2)(x-1)$\\
    * (d) $(x+1)(x-2)$ \\ <btn type="link" collapse="a1">See Answer</btn><collapse id="a1" collapsed="true">%%(d)%%: $(x+1)(x-2)$</collapse>
ii. Divide $9 y^{2}+9 y-10$ by $3 y-2$, then remainder is:\\
    * (a) $ 0$\\  
    * (b) $1$\\
    * %%(c)%% $2$\\ 
    * (d) $3$  \\ <btn type="link" collapse="a2">See Answer</btn><collapse id="a2" collapsed="true">(a): $ 0$</collapse>
iii. $\frac{x^{2}-x-9}{x-3}=x+2+\frac{?}{x-3}$\\ 
    * (a) $-27$\\ 
    * (b)$-3$\\
    * %%(c)%% $\frac{3}{x-3}+x+2$\\
    * (d) $ 3$  \\ <btn type="link" collapse="a3">See Answer</btn><collapse id="a3" collapsed="true">(b): $-3$</collapse>
iv. If $3 x^{3}-2 x^{2}+5$ is divided by $x+1$, then $x+1$ will be its:\\
    * (a) divisor as well as factor\\
    * (b)  dividend\\
    * %%(c)%% quotient\\
    * (d) remainder \\ <btn type="link" collapse="a4">See Answer</btn><collapse id="a4" collapsed="true">(a): divisor as well as factor </collapse>
v. If 2 is a zero of the polynomial $x^{3}+5 x^{2}-4 x+k$, then the value of $k$ will be:\\
    * (a) $-4$ 
    * (b) $-20$ 
    * %%(c)%% $20$
    * (d) $0$ \\ <btn type="link" collapse="a5">See Answer</btn><collapse id="a5" collapsed="true">(b): $-20$ </collapse>
vi. If $x-b$ is the factor of $q(x)$, then $\mathrm{q}(\mathrm{b})$ is:\\
    * (a)  factor\\ 
    * (b) divisor\\
    * %%(c)%% remainder\\
    * (d) dividend \\ <btn type="link" collapse="a6">See Answer</btn><collapse id="a6" collapsed="true">(c): remainder</collapse>
vii. If the expression $2 x^{3}+3 p x^{2}-4 x$ has a remainder of 4 when divided by $x+2$, then $\mathbf{p}=$\\
    * (a) $-2$  
    * (b) $ 1$
    * %%(c)%% $-1$ 
    * (d) $ 0$ \\ <btn type="link" collapse="a7">See Answer</btn><collapse id="a7" collapsed="true">%%(b)%%: $ 1$</collapse>
viii. If $f(x)$ is divided by $x-2$, then remainder is 12 . What is $f(2)$ ?\\
    * (a) $-12$  
    * (b) $\quad f(-2)$
    * %%(c)%% $12$
    * (d) zero\\ <btn type="link" collapse="a8">See Answer</btn><collapse id="a8" collapsed="true">%%(c)%%: $12$</collapse>


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<text align="right"><btn type="success">[[math-11-nbf:sol:unit05:Re-ex-p2|Question 2 & 3>]]</btn></text>