Advertisements
Advertisements
प्रश्न
Find the values of m and n if the following polynomial is a perfect square
x4 – 8x3 + mx2 + nx + 16
Advertisements
उत्तर

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
संबंधित प्रश्न
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 rational expression
`(121("a" + "b")^8 (x + y)^8 ("b" - "c")^8)/(81("b" - "c")^4 ("a" - "b")^12 ("b" - "c")^4)`
Find the square root of the following
4x2 + 20x + 25
Find the square root of the following
`1 + 1/(x^6) + 2/(x^3)`
Find the square root of the following polynomials by division method
x4 – 12x3 + 42x2 – 36x + 9
Find the values of a and b if the following polynomial is a perfect square
ax4 + bx3 + 361x2 + 220x + 100
Find the values of m and n if the following polynomial is a perfect square
`1/(x^4) - 6/(x^3) + 13/(x^2) + "m"/x + "n"`
The values of a and b if 4x4 – 24x3 + 76x2 + ax + b is a perfect square are
Solve `sqrt(y + 1) + sqrt(2y - 5)` = 3
If – 4 is a root of the equation x2 + px – 4 = 0 and if the equation x2 + px + q = 0 has equal roots, find the values of p and q.
