Advertisements
Advertisements
Question
The factors of x4 + x2 + 25 are
Options
(x2 + 3x + 5) (x2 − 3x + 5)
(x2 + 3x + 5) (x2 + 3x − 5)
(x2 + x +5) (x2 − x + 5)
none of these
Advertisements
Solution
The given expression to be factorized is x4 + x2 + 25
This can be written in the form
`x^4 + x^2 + 25 = (x^2)^2+ 2.x^2 .5+ (5)^2 - 9x^2`
` = {(x^2)^2 + 2x^2 .5+ (5)^2 } - (3x)^2`
` = (x^2 + 5)^2 - (3x)^2`
` = (x^2 + 5)^2 - (3x)^2`
` = (x^2 + 5 + 3x)(x^2 + 5 - 3x)`
APPEARS IN
RELATED QUESTIONS
Factorize `[x^2 + 1/x^2] - 4[x + 1/x] + 6`
Factorize the following expressions:
y3 +125
Simplify `(155 xx 155 xx 155 - 55 xx 55 xx 55)/(155 xx 155 + 155 xx 55 + 55 xx 55)`
Write the value of 303 + 203 − 503.
Write the number of the term of the following polynomial.
5x2 + 3 x ax
Divide: 10a3 - 15a2b by - 5a2
Complete the table.
| × | 2x2 | −2xy | x4y3 | 2xyz | (___)xz2 |
| x4 | |||||
| (___) | 4x5y4 | ||||
| −x2y | |||||
| 2y2z | −10xy2z3 | ||||
| −3xyz | |||||
| (___) | −14xyz2 |
If x = 2 and y = 3, then find the value of the following expressions
x + y
A school has a rectangular playground with length x and breadth y and a square lawn with side x as shown in the figure given below. What is the total perimeter of both of them combined together?
The rate of planting the grass is ₹ x per square metre. Find the cost of planting the grass on a triangular lawn whose base is y metres and height is z metres.
