Advertisements
Advertisements
Question
Find the values of a and b if the following polynomial is a perfect square
4x4 – 12x3 + 37x2 + bx + a
Advertisements
Solution
Since it is a perfect square
b + 42 = 0
b = – 42
a – 49 = 0
a = 49
∴ The value of a = 49 and b = – 42
APPEARS IN
RELATED QUESTIONS
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
9x2 – 24xy + 30xz – 40yz + 25z2 + 16y2
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 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"`
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.
