Advertisements
Advertisements
प्रश्न
Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial
x3 – 3x + 1, x5 – 4x3 + x2 + 3x + 1
Check whether the first polynomial is a factor of the second polynomial by applying the division algorithm g(x) = x3 – 3x + 1, f(x) = x5 – 4x3 + x2 + 3x + 1
उत्तर
x3 - 3x + 1, x5 - 4x3 + x2 + 3x + 1
Since the remainder ≠ 0
Hence x3 - 3x + 1 is not a factor of x5 - 4x3 + x2 + 3x + 1
संबंधित प्रश्न
Obtain all zeros of f(x) = x3 + 13x2 + 32x + 20, if one of its zeros is −2.
Find all zeros of the polynomial f(x) = 2x4 − 2x3 − 7x2 + 3x + 6, if its two zeros are `-sqrt(3/2)` and `sqrt(3/2)`
Find all the zeros of the polynomial x4 + x3 − 34x2 − 4x + 120, if two of its zeros are 2 and −2.
Find all zeros of the polynomial 2x4 + 7x3 − 19x2 − 14x + 30, if two of its zeros are `sqrt2` and `-sqrt2`.
If (a-b) , a and (a + b) are zeros of the polynomial `2x^3-6x^2+5x-7` write the value of a.
Find the quotient and remainder of the following.
(4x3 + 6x2 – 23x + 18) ÷ (x + 3)
Find the quotient and remainder of the following.
(8y3 – 16y2 + 16y – 15) ÷ (2y – 1)
The area of a rectangle is x2 + 7x + 12. If its breadth is (x + 3), then find its length
The sum of (x + 5) observations is (x3 + 125). Find the mean of the observations
If on division of a polynomial p(x) by a polynomial g(x), the quotient is zero, what is the relation between the degrees of p(x) and g(x)?