MCQ
The factors of x4 + x2 + 25, are.
- A(x2 + x + 5) (x2 - x + 5)
- B(x2 + 3x + 5) (x2 - 3x + 5)
- C(x2 + 3x + 5) (x2 + 3x - 5)
- DNone of these.
✓
Answer
- (x2 + 3x + 5) (x2 - 3x + 5)
Solution:
The given expression to be factorized is x4 + x2 + 25
This can be written in the form
x4 + x2 + 25 = (x2) + 2 × x2 × 5 + (5)2 - 9x2
= {(x2)2 + 2x2 × 5 + (5)2} - (3x)2
= (x2 + 52) - (3x)2
= (x2 + 5)2 - (3x)2
= (x2 + 5 + 3x) (x2 + 5 - 3x)
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
→→→→→→→
Each equal side of an isosceles triangle is 13cm and its base is 24cm Area of the triangle is:
If h, S and V denote respectively the height, curved surface area and volume of a right circular cone, $3\pi\text{Vh}^3-\text{S}^2\text{h}^2+9\text{V}^2$ is equal to:
→Write the correct answer in the following:
In Fig. if $\angle\text{DAB} = 60^\circ, \angle\text{ABD} = 50^\circ,$ then $\angle\text{ACB}$ is equal to:
→In Fig. if $\angle\text{DAB} = 60^\circ, \angle\text{ABD} = 50^\circ,$ then $\angle\text{ACB}$ is equal to:
- 60°.
- 50°.
- 70°.
- 80°.
In the given figure, ABCD and ABPQ are two parallelograms and M is a point on AQ and BMP is a triangle. Then is:
- True
- False
Mode of a set of observations is the value which:
In Fig. what is y in terms of x?
If $8^{x+1}$=64, what is the value of $3^{2 x+1}$ ?
→An angle is 4 time its complement. Find measure.
The median of the data arranged in ascending order 8, 9, 12, 18, (x + 2), (x + 4), 30, 31, 34, 39, is 24. The value of x is:
- 22
- 21
- 20
- 24