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.

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) $(x+1)(x-2)$
  See Answer

  (d): $(x+1)(x-2)$

ii. Divide $9 y^{2}+9 y-10$ by $3 y-2$, then remainder is:

• (a) $ 0$
  
• (b) $1$
  
• (c) $2$
  
• (d) $3$
  See Answer

  (a): $ 0$

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$
  See Answer

  (b): $-3$

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
  See Answer

  (a): divisor as well as factor

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) $0$
  See Answer

  (b): $-20$

vi. If $x-b$ is the factor of $q(x)$, then $\mathrm{q}(\mathrm{b})$ is:

• (a) factor
  
• (b) divisor
  
• (c) remainder
  
• (d) dividend
  See Answer

  ©: remainder

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$
  See Answer

  (b): $ 1$

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
  See Answer

  (c): $12$

Question 2 & 3>