How do you solve the remainder theorem?
So in the first one notice we’ve got a 3x cubed minus 2x squared plus X minus 6. That’s our f of X that’s being divided in this case we’re dividing by X minus 4.
What is the example of remainder theorem?
It is applied to factorize polynomials of each degree in an elegant manner. For example: if f(a) = a3-12a2-42 is divided by (a-3) then the quotient will be a2-9a-27 and the remainder is -123. Thus, it satisfies the remainder theorem.
What is remainder theorem Class 9 easy?
Let g(x) be a polynomial of degree 1 or greater than 1 and let b be any real number. If g(x) is divided by the linear polynomial x – b, then the remainder is p(b).
What is the remainder theorem for kids?
Alright the remainder theorem says if you have a polynomial function f of X and you divide that polynomial by the polynomial X minus some number K.
How do you find K in remainder theorem?
Remainder theorem: find k if f(x)=x^2+kx-20 – YouTube
Who discovered remainder theorem?
Chinese remainder theorem, ancient theorem that gives the conditions necessary for multiple equations to have a simultaneous integer solution. The theorem has its origin in the work of the 3rd-century-ad Chinese mathematician Sun Zi, although the complete theorem was first given in 1247 by Qin Jiushao.
What is the formula of remainder?
This value is called the remainder. For example, 10 is not exactly divided by 3. Since the closest value, we can get 3 x 3 = 9. Hence, 10 ÷ 3 → 3 R 1, where 3 is the quotient and 1 is the remainder.
How do you find the remainder of a number?
First, if a number is being divided by 10, then the remainder is just the last digit of that number. Similarly, if a number is being divided by 9, add each of the digits to each other until you are left with one number (e.g., 1164 becomes 12 which in turn becomes 3), which is the remainder.
What is Cpct rule?
CPCT stands for Corresponding parts of Congruent triangles. CPCT theorem states that if two or more triangles which are congruent to each other are taken then the corresponding angles and the sides of the triangles are also congruent to each other.
What are the 10 algebraic identities Class 9?
Algebraic Identities
- (x + y)2 = x2 + 2xy + y2
- (x – y)2 = x2 – 2xy + y2
- x2 – y2 = (x + y) (x – y)
- (x + a) (x + b) = x2 + (a + b)x + ab.
- (x + y + z)2 = x2 + y2 + z2 + 2xy + 2yz + 2zx.
- (x + y)3 = x3 + y3 + 3xy(x + y)
- (x – y)3 = x3 – y3 – 3xy(x – y)
- x3 + y3 + z3 – 3xyz = (x + y + z) (x2 + y2 + z2 – xy – yz – zx)
Where do we use remainder theorem in real life?
Real-life Applications
The remainder theorem provides a more efficient avenue for testing whether certain numbers are roots of polynomials. This theorem can increase efficiency when applying other polynomial tests, like the rational roots test.
How do you find the value of K?
Find the Value of k in Quadratic Equations when One Root is Given
Why is the remainder theorem useful?
The Polynomial Remainder Theorem allows us to determine whether a linear expression is a factor of a polynomial expression easily.
Is zero a remainder?
When one number divides another number completely, the remainder is 0. The remainder is always less than the divisor. If the remainder is greater than the divisor, it means that the division is incomplete.
What is the remainder when 21 is divided by 7?
This is Expert Verified Answer
i.e., 21 is completely divisible by 7. so, remainder is 0.
What is the remainder if 825 is divided by 7?
6 is the remainder of this division.
What is SSS SAS ASA AAS?
Different rules of congruency are as follows. SSS (Side-Side-Side) SAS (Side-Angle-Side) ASA (Angle-Side-Angle) AAS (Angle-Angle-Side)
Is AAA a congruence rule?
It is not justified because AAA is not a congruence criterion. Triangles with similar measures of angles can be similar triangles but not congruent. Two similar triangles can also have all equal angles but different lengths of sides, so one triangle could be an enlarged version of another triangle.
Who is the father of maths?
philosopher Archimedes
The Father of Math is the great Greek mathematician and philosopher Archimedes. Perhaps you have heard the name before–the Archimedes’ Principle is widely studied in Physics and is named after the great philosopher.
Who invented maths?
But Archimedes is known as the father of mathematics.
What is the importance of remainder theorem?
Why does remainder theorem work?
The remainder theorem is a close cousin of the factor theorem, and says that when you divide by , the remainder you get is . Notice that this fits perfectly well with the factor theorem: if the remainder when you divide by something is zero, what you divided by is a factor!
What is the K in math?
K comes form the Greek kilo which means a thousand. In the metric system lower case k designates kilo as in kg for kilogram, a thousand grams.
What is K in quadratic equation?
the k represents a vertical shift (how far up, or down, the graph has shifted from y = 0).
What happens if the remainder is zero?
Remainder. When one term (the “dividend”) is divided by another term (the “divisor”), the result is a “quotient” and a “remainder”. When the remainder is zero, both the quotient and divisor are factors of the dividend. When the remainder is not zero, neither the quotient nor the divisor are factors of the dividend.