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
`1 + 1/(x^6) + 2/(x^3)`
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
37x2 – 28x3 + 4x4 + 42x + 9
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
If the roots of the equation q2x2 + p2x + r2 = 0 are the squares of the roots of the equation qx2 + px + r = 0, then q, p, r are in __________
Find the square root of 289x4 – 612x3 + 970x2 – 684x + 361
Solve `sqrt(y + 1) + sqrt(2y - 5)` = 3
If α and β are the roots of the polynomial f(x) = x2 – 2x + 3, find the polynomial whose roots are α + 2, β + 2
