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प्रश्न
Identify constant, linear, quadratic and cubic polynomials from the following polynomials:
`f(x)=0`
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उत्तर
Given polynomial
`f(x)=0` is a constant polynomial as 0 is a constant
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संबंधित प्रश्न
In each of the following, using the remainder theorem, find the remainder when f(x) is divided by g(x) and verify the result by actual division: (1−8)
f(x) = x3 + 4x2 − 3x + 10, g(x) = x + 4
f(x) = 9x3 − 3x2 + x − 5, g(x) = \[x - \frac{2}{3}\]
The polynomials ax3 + 3x2 − 3 and 2x3 − 5x + a when divided by (x − 4) leave the remainders R1 and R2 respectively. Find the value of the following case, if R1 = R2.
In each of the following, use factor theorem to find whether polynomial g(x) is a factor of polynomial f(x) or, not: (1−7)
f(x) = x3 − 6x2 + 11x − 6; g(x) = x − 3
2y3 + y2 − 2y − 1
Define zero or root of a polynomial.
If x3 + 6x2 + 4x + k is exactly divisible by x + 2, then k =
(x+1) is a factor of xn + 1 only if
Factorise the following:
y2 – 16y – 80
(x + y)(x2 – xy + y2) is equal to
