REMAINDER THEOREM

Theorem|Pythagoras Theorem|NCERT Exercise

Limits|Existence Of Limit|Theorem 1|Theorem 2|Theorem 3|Theorem 4 ( Sandwich Theorem )|OMR

Trigonometric Equations|Theorem 1|Theorem 2|Theorem 3|OMR

Triangle (Theorem 1)|(Theorem 2)|NCERT Questions

Pythagoras Theorem|Converse Of Pythagoras Theorem|NCERT Question

How to calculate Unit Digit Number and Remainder using Binomial Theorem

OMR|Theorem|Questions|Inequalities In A Triangle|Theorem|Questions

Parallel Axis Theorem||Perpendicular Axis Theorem

Triangles|Basic Proportionality Theorem(BPL)Thales Theorem|Converse Of (Basic Proportionality Theorem(BPL))Thales Theorem|Criteria For Similarity Of Triangles |Pythagoras Theorem And Its Converse

If a is defined by f (x)=a_(0)x^(n)+a_(1)x^(n-2)+a_(2)x^(n-2)+...+a_(n-1)x+a_(n) where n is a non negative integer and a_(0),a_(1),a_(2),…….,a_(n) are real numbers and a_(0) ne 0, then f is called a polynomial function of degree n. For polynomials we can define the following theorem (i) Remainder theorem: Let p(x) be any polynomial of degree greater than or equal to one and 'a' be a real number. if p(x) is divided by (x-a), then the remainder is equal to p(a). (ii) Factor theorem : Let p(x) be a polynomial of degree greater than or equal to 1 and 'a' be a real number such that p(a) = 0, then (x-a) is a factor of p(x). Conversely, if (x-a) is a factor of p(x). then p(a)=0. THe polynomials P(x) =kx^(3)+3x^(2)-3 and Q(x)=2x^(3) -5x+k, when divided by (x-4) leave the same remainder. Then the value of k is