What is the coefficient of X in the?

Answer: coefficient is a number in front of a variable. For example, in the expression x 2-10x+25, the coefficient of the x 2 is 1 and the coefficient of the x is -10. The third term, 25, is called a constant.

What is the coefficient of X 4 in the expansion of 1 X X 2 X 3 11?

Thus, the coefficient of ${{x}^{4}}$ is 990. Hence, the correct answer is option C.

How do you find the coefficient of x 2 in binomial expansion?

Remember that Pascal’s Triangle begins with 1 as the first row and as the first and last entry of every other row. The middle terms of each row are obtained by adding the two terms from the row above. So, the coefficient of the x2 -term is 80 .

What is the coefficient of 5?

The coefficients are the numbers that multiply the variables or letters. Thus in 5x + y – 7, 5 is a coefficient. It is the coefficient in the term 5x. Also the term y can be thought of as 1y so 1 is also a coefficient.

What are integral terms?

The term “integral” can refer to a number of different concepts in mathematics. In calculus, an integral is a mathematical object that can be interpreted as an area or a generalization of area. Integrals, together with derivatives, are the fundamental objects of calculus.

How do you expand a multinomial?

The multinomial theorem provides an easy way to expand the power of a sum of variables. As “multinomial” is just another word for polynomial, this could also be called the polynomial theorem. It tells us that when you expand any multinomial (x1+ x2 + …. xk)n the coefficients of every term x1n1 x2n2….

What is the coefficient of a line?

Coefficients are the numbers by which the variables in an equation are multiplied. In a simple linear equation (contains only one x variable), the coefficient is the slope of the line. The coefficient (and slope) is positive 5.

What is a coefficient value?

The coefficient value signifies how much the mean of the dependent variable changes given a one-unit shift in the independent variable while holding other variables in the model constant. The coefficients in your statistical output are estimates of the actual population parameters.