NCERT Solutions for Class 9 Maths Chapter 2 Polynomials Ex 2.3 are part of NCERT Solutions for Class 9 Maths. Here we have given NCERT Solutions for Class 9 Maths Chapter 2 Polynomials Ex 2.3.

Board |
CBSE |

Textbook |
NCERT |

Class |
Class 9 |

Subject |
Maths |

Chapter |
Chapter 2 |

Chapter Name |
Polynomials |

Exercise |
Ex 2.3 |

Number of Questions Solved |
3 |

Category |
NCERT Solutions |

## NCERT Solutions for Class 9 Maths Chapter 2 Polynomials Ex 2.3

**Question 1.
**

**Find the remainder when x**

^{3}+ 3x^{2}+ 3x + 1 is divided by**(i) x + 1**

**(ii) x – \(\frac { 1 }{ 2 }\)**

**(iii) x**

**(iv) x + π**

**(v) 5 + 2x**

**Solution:**

Let p (x) = x

^{3}+ 3x

^{2}+ 3x + 1

(i) The zero of x+ 1 is – 1. (∵ x+ 1 = 0= x = -1)

**Question 2.
**

**Find the remainder when x**

^{3}-ax^{2}+6x-ais divided by x – a.**Solution:**

The zero of x – a is a. (∵ x – a = 0 =» x= a)

Let p (x) = x

^{3}– ax

^{2}+ 6x – a

So, p (a) = a

^{3}– a (a)

^{2}+ 6a – a = a

^{3}– a

^{3}+ 5a

⇒ p (a) = 5a

∴ Required remainder = 5a (By Remainder theorem)

**Question 3.
**

**Check whether 7 + 3x is a factor of 3x**

^{3}+7x.^{ }

**Solution:**

Let f(x) = 3x

^{3}+7x

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