Advertisements
Advertisements
Question
Find the values of m and n if the following polynomial is a perfect square
x4 – 8x3 + mx2 + nx + 16
Advertisements
Solution
Since it is a perfect square
m – 16 – 8 = 0
m – 24 = 0
m = 24
n + 32 = 0
n = – 32
∴ The value of m = 24 and n = – 32
APPEARS IN
RELATED QUESTIONS
Find the square root of the following rational expression
`(400x^4y^12z^16)/(100x^8y^4z^4)`
Find the square root of the following rational expression
`(7x^2 + 2sqrt(14)x + 2)/(x^2 - 1/2 x + 1/16)`
Find the square root of the following
4x2 + 20x + 25
Find the square root of the following
`(2x^2 + 17/6 x + 1) (3/2 x^2 + 4x + 2) (4/3 x^2 + 11/3 x + 2)`
Find the square root of the following polynomials by division method
16x4 + 8x2 + 1
Find the square root of the following polynomials by division method
121x4 – 198x3 – 183x2 + 216x + 144
Find the values of a and b if the following polynomial is a perfect square
4x4 – 12x3 + 37x2 + bx + a
Find the values of a and b if the following polynomial is a perfect square
ax4 + bx3 + 361x2 + 220x + 100
The square root of `(256x^8y^4z^10)/(25x^6y^6z^6)` is equal to
Which of the following should be added to make x4 + 64 a perfect square
