Steps for factorisation using remainder theorem
By trial and error method, find the factor of the constant for which the given expression becomes equal to zero. Divide the expression by the factor that is determined in step 1. Factorise the quotient. If the quotient is a trinomial, factorise it further. If the expr..
Remainder Theorem
Recall the Remainder theorem and the Factor theorem. When f(x) is divided by (x-a) the remainder is (x-a) and if the remainder f(a) = 0 then x - a is a factor of the expression f (x..
Recall the Remainder theorem and the Factor theorem. When f(x) is divided by (x-a) the remainder is (x-a) and if the remainder f(a) = 0 then x - a is a factor of the expression f (x..Remainder theorem
If f(x) is a polynomial in x and is divided by x-a; the remainder is the value of f(x) at x = a i.e., Remainder = f(a..
If three times the larger of the two is divided by the smaller one, we..
If three times the larger of the two is divided by the smaller one, we get 4 as quotient and 3 as the remainder. Also if seven times the smaller number is divided by the larger one, we get 5 as quotient and 1 as remainder. Find the numbers. => 18, 25 or 13, 1..
If an integer divides another integer with remainder 0, then the forme..
If an integer divides another integer with remainder 0, then the former integer is a ____ of later integer. => Dividend or Quotient or Divisor or Factor..
Factor Theorem
Statement - If p(x), a polynomial in x is divided by x-a and the remainder = f (a) is zero, then (x-a) is a factor of p(..
What happens to the quotient as the divisor is increased while the div..
What happens to the quotient as the divisor is increased while the dividend remains constant? => quotient increases or remainder increases or dividend increases or quotient decreases..
Divide using synthetic division. Express your answer as:dividenddiviso..
Divide using synthetic division. Express your answer as: dividend divisor = quotient + remainder divisor . (343 x 3 + 512) ÷ (7 x - 8) => 49 x 2 + 56 x + 64 + ( 1 0 2 4 7 x - 8 ) or 1 0 2 4 7 x - 8 - 49 x 2 - 56 x - 64 or 49 x 2 + 56 x + 64 - ( 1 0 2 4 7 x - 8 ) or 49 x 2..
Proof:
When p(x) is divided by x-a, R = p(a) (by remainder theorem) p(x) = (x-a).q(x)+p(a) (Dividend = Divisor x quotient + Remainder Division Algorithm) But p(a) = 0 is given. Hence p(x) = (x-a).q(x) Conversely if x-a is a factor of p(x) then p(a)=0. p(x) = (x-a..
When p(x) is divided by x-a, R = p(a) (by remainder theorem) p(x) = (x-a).q(x)+p(a) (Dividend = Divisor x quotient + Remainder Division Algorithm) But p(a) = 0 is given. Hence p(x) = (x-a).q(x) Conversely if x-a is a factor of p(x) then p(a)=0. p(x) = (x-a..When the dividend remains constant and the divisor decreases, then ___..
When the dividend remains constant and the divisor decreases, then _____________ . => quotient decreases or quotient remains constant or quotient increases or remainder increases..
See what our Users say :
Best tutor ever. I can actually understand what to do in fraction and decimal division situations
This Tutor Vista is GREAT! loved this session, it helped me heaps.
VERY HELPFULL! I understand through the formulas given to read the equation when worked great job
Tutor are so organized and neat with their teachings. She set up everything that made the problems more understandable by showing them in such a simple manner, I feel I could really learn from them and pertain it to my class! :)
Looking for More Help!
