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) $(x+1)(x-2)$
  <btn type=“link” collapse=“a1”>See Answer</btn>

  (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) $3$
  <btn type=“link” collapse=“a2”>See Answer</btn>

  (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$
  <btn type=“link” collapse=“a3”>See Answer</btn>

  (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
  <btn type=“link” collapse=“a4”>See Answer</btn>

  (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) $0$
  <btn type=“link” collapse=“a5”>See Answer</btn>

  (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
  <btn type=“link” collapse=“a6”>See Answer</btn>

  ©: 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$
  <btn type=“link” collapse=“a7”>See Answer</btn>

  (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
  <btn type=“link” collapse=“a8”>See Answer</btn>

  (c): $12$

<btn type=“success”>Question 2 & 3></btn>