Mathematics
By factor theorem, show that (x + 3) and (2x - 1) are the factors of 2x2 + 5x - 3.
Related Questions
The polynomials ax3 + 3x2 - 3 and 2x3 - 5x + a when divided by x - 4 leave the remainder r1 and r2 respectively. If 2r1 = r2, then find the value of a.
Using the remainder theorem, find the remainders obtained when x3 + (kx + 8)x + k is divided by x + 1 and x - 2. Hence, find k if the sum of two remainders is 1.
Without actual division, prove that x4 + 2x3 - 2x2 + 2x - 3 is exactly divisible by x2 + 2x - 3.
Show that (x - 2) is a factor 3x2 - x - 10. Hence, factorize 3x2 - x - 10.