Advertisements
Advertisements
प्रश्न
One factor of x4 + x2 − 20 is x2 + 5. The other factor is
पर्याय
x2 − 4
x − 4
x2 − 5
x + 2
Advertisements
उत्तर
It is given that `x^ + 5`is a factor of the polynomial
`f(x)^2 = x^4 + x^2 - 20 .`

Here, reminder is zero. Therefore,` x^2 - 4` is a factor of polynomial.
APPEARS IN
संबंधित प्रश्न
Write the degrees of the following polynomials
0
If the polynomials ax3 + 3x2 − 13 and 2x3 − 5x + a, when divided by (x − 2) leave the same remainder, find the value of a.
In the following two polynomials, find the value of a, if x + a is a factor x4 − a2x2 + 3x −a.
Find the values of a and b so that (x + 1) and (x − 1) are factors of x4 + ax3 − 3x2 + 2x + b.
2x4 − 7x3 − 13x2 + 63x − 45
Let f(x) be a polynomial such that \[f\left( - \frac{1}{2} \right)\] = 0, then a factor of f(x) is
Factorise the following:
p² – 6p – 16
Factorise the following:
8m3 – 2m2n – 15mn2
Factorise:
x3 + x2 – 4x – 4
Factorise:
3x3 – x2 – 3x + 1
