Download App

Polynomials — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsPolynomials1 Mark
MCQ
Write the correct answer in the following:
x + 1 is a factor of the polynomial.
  • A
    x3 + x2 - x + 1
  • B
    x3 + x2 + x + 1
  • C
    x4 + x3 + x2 + 1
  • D
    -x4 + 3x3 + 3x2 + x + 1
✓

Answer

  1. x3 + x2 + x + 1
    Solution:
    Let assume (x + 1) is a factor of x3 + x2 + x + 1
    So, x = -1 is zero of x3 + x2 + x + 1
    (-1)3 + (-1)2 + (-1) + 1 = 0
    ⇒ -1 + 1 - 1 + 1 = 0
    ⇒ 0 = 0
    Hence, our assumption is true.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q" from Polynomials→Polynomials — all question types→Maths STD 9 question papers→Gujarat Board STD 9 question papers→Gujarat Board question paper generator→

Similar questions

The value of xa-b ×b-c xc-a is:
→
If one of the angles of a triangle is 130º, then the angle between the bisectors of the other two angles can be:
→
If x is the mean of x1, x2, ..... xn, y is the mean of y1, y2, ... xn,....yn, then z the mean of x1, x2, ....xn, y1, y2, ....yn is equal to:
→
The sides of a triangle are in the ratio 5 : 12 : 13 and its perimeter is 150cm. The area of the triangle is:
→
The expanded form of (x + y - z)2 is:
→
If $\text{x}^4+\frac{1}{\text{x}^4}=623,$ than $\text{x}+\frac{1}{\text{x}}=$
→
The mean of prime numbers between 30 and 40 is:
→
If the height and radius of a cone of volume V are doubled, then the volume of the cone, is:
→
The sides of a triangle are 16cm, 30cm, 34cm. Its area is:
→
The edge of the cube whose volume is 1728 cu.cm is:
→