Advertisements
Advertisements
प्रश्न
Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial
t2 – 3, 2t4 + 3t3 – 2t2 – 9t – 12
उत्तर
t2 - 3, 2t4 + 3t3 - 2t2 - 9t - 12
t2 - 3 = t2 + 0.t - 3
Since the remainder is 0,
Hence, t2 - 3 is a factor of 2t4 + 3t3 - 2t2 - 9t - 12
APPEARS IN
संबंधित प्रश्न
Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following : p(x) = x4 – 3x2 + 4x + 5, g(x) = x2 + 1 – x
Give examples of polynomials p(x), g(x), q(x) and r(x), which satisfy the division algorithm
deg q(x) = deg r(x)
Obtain all zeros of f(x) = x3 + 13x2 + 32x + 20, if one of its zeros is −2.
What must be added to the polynomial f(x) = x4 + 2x3 − 2x2 + x − 1 so that the resulting polynomial is exactly divisible by x2 + 2x − 3 ?
Find all zeros of the polynomial 2x4 + 7x3 − 19x2 − 14x + 30, if two of its zeros are `sqrt2` and `-sqrt2`.
Find all the zeros of the polynomial 2x3 + x2 − 6x − 3, if two of its zeros are `-sqrt3` and `sqrt3`
Find the quotient and remainder of the following.
(8y3 – 16y2 + 16y – 15) ÷ (2y – 1)
The base of a parallelogram is (5x + 4). Find its height if the area is 25x2 – 16
Which one of the following statements is correct?
If on division of a non-zero polynomial p(x) by a polynomial g(x), the remainder is zero, what is the relation between the degrees of p(x) and g(x)?
