Advertisements
Advertisements
Question
The values of a and b if 4x4 – 24x3 + 76x2 + ax + b is a perfect square are
Options
100, 120
10, 12
– 120, 100
12, 10
Solution
– 120, 100
Explanation;
Hint:
Since it is a perfect square
a + 120 = 0
a = – 120
b – 100 = 0
b = 100
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
9x2 – 24xy + 30xz – 40yz + 25z2 + 16y2
Find the square root of the following
`1 + 1/(x^6) + 2/(x^3)`
Find the square root of the following
(4x2 – 9x + 2)(7x2 – 13x – 2)(28x2 – 3x – 1)
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 m and n if the following polynomial is a perfect square
x4 – 8x3 + mx2 + nx + 16
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 square root of `(256x^8y^4z^10)/(25x^6y^6z^6)` is equal to
If α and β are the roots of the polynomial f(x) = x2 – 2x + 3, find the polynomial whose roots are `(alpha - 1)/(alpha + 1), (beta - 1)/(beta + 1)`
