Mathematics
If a polynomial x3 + 2x2 – ax + b leaves a remainder -6 when divided by x + 1 and the same polynomial has x - 2 as a factor, then find the values of a and b.
Related Questions
The data given below shows the marks of 12 students in a test, arranged in ascending order :
2, 3, 3, 3, 4, x, x + 2, 8, p, q, 8, 9.
If the given value of the median and mode is 6 and 8 respectively, then find the values of x, p, q.
Solve the linear inequation, write down the solution set and represent it on the real number line :
5(2 - 4x) > 18 - 16x > 22 - 20x, x ∈ R
In the given figure (not drawn to scale), BC is parallel to EF, CD is parallel to FG, AE : EB = 2 : 3, ∠BAD = 70°, ∠ACB = 105°, ∠ADC = 40° and AC is bisector of ∠BAD.
(a) Prove Δ AEF ~ Δ AGF
(b) Find :
(i) AG : AD
(ii) area of Δ ACB: area Δ ACD
(iii) area of quadrilateral ABCD: area of Δ ACB.