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
Advertisements
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
`(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
(4x2 – 9x + 2)(7x2 – 13x – 2)(28x2 – 3x – 1)
Find the square root of the following polynomials by division method
x4 – 12x3 + 42x2 – 36x + 9
Find the square root of the following polynomials by division method
16x4 + 8x2 + 1
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"`
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
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)`
