If the coefficient-5 of X in the product of polynomial (2x-1) and (x + a) is, then a=

If the coefficient-5 of X in the product of polynomial (2x-1) and (x + a) is, then a=

(2x-1)*(x+a)=2x²+(2a-1)x-a
Then we can know: 2a-1 = - 5
The solution is a = - 2

Given that the product of a polynomial and polynomial x ^ 2-x-1 is x ^ 4-x ^ 2-2x-1, find the polynomial
I know that,

x^4-X^2-2X-1
=x^4-(x+1)²
=(x²+x+1)(x²-x-1)
This polynomial is X & sup2; + X + 1

Let f (x) be divided by X-1, and the remainder is 2. If f (x) is divided by x ^ 2-2x + 3, and the remainder is 4x + 6, what is the remainder divided by (x-1) (x ^ 2-2x + 3)?

It is known that the quotient of a multinomial polynomial 2x3-4x2-1 divided by polynomial A is 2x, and the remainder is X-1, then polynomial A is 2x______ ．

According to the meaning of the title: 2x3-4x2-1 △ a = 2x So the answer is: x2-2x-12

The quotient of the polynomial 2x ^ 3-4x ^ 2-1 divided by a polynomial is X-1, and the remainder is 2x

Because: divided form = quotient form × division form + remainder form
therefore
2X ^ 3-4x ^ 2-1 = division × (x-1) + 2x
therefore
Division formula × (x-1) = 2x ^ 3-4x ^ 2-1-2x
therefore
Division = (2x ^ 3-4x ^ 2-1-2x) / (x-1)
Because (2x ^ 3-4x ^ 2-1-2x) can't decompose factors in the range of real numbers
So the result is not a polynomial
Please check the title

The square of the polynomial 3x minus 2x plus 1 minus a multinomial is the formula a. the difference is the square of 4x minus 3x plus 4 to find the polynomial a

The square of 3x minus 2x plus 1-4x minus 3x plus 4 = - x ^ 2 + x-3, according to the subtraction minus = difference, where a is the subtraction, the difference is the square of 4x minus 3x plus 4, and the square of the subtraction 3x minus 2x plus 1

What is the meaning of ascending and descending power in mathematics

Only when arranging a class of numbers with several powers of X, such as ascending power arrangement (first power of X, second power of X, third power of x), or descending power arrangement (third power of X, second power of X, first power of x) will be mentioned. Remember, in trigonometric function, there are descending power, ascending angle and descending angle of ascending power

In mathematics, what do ascending and descending powers mean?

A function in the form of y = x ^ a (a is a constant), that is, a function with the base as the independent variable, the power as the dependent variable, and the exponent as the constant, is called a power function. When a simplified formula contains all the numbers of an independent variable on one side of the equal sign, and the exponent of the independent variable is arranged from small to large, we say that the formula is arranged with respect to the independent variable, and vice versa
For example: X & # 179; Y & # 178; + XY & # 179; - 2 = 0, we say that the formula is about the descending power arrangement of X (its exponential order is: 3,1,0), but it is not about the ascending power arrangement of Y, because 2 equals y ^ 0 multiplied by 2, so the constant should be regarded as the power of exponent 0. If the formula is changed to - 2 + X & # 179; Y & # 178; + XY & # 179; = 0 or 2-x & # 179; Y & # 178; - XY & # 179; = 0, we say that the formula is about the ascending power arrangement of Y

What are the meanings of "ascending power" and "descending power"?

"Two permutations" refers to ascending and descending power permutations. It should be noted that: (1) determine which letter is the principal element, for example, the descending power permutation of 3x2y-xy2 + x3-y3 should be X3 + 3x2y-xy2-y3 (at this time - Y3 is regarded as a constant term) according to X (x is the principal element, and the one with the largest power exponent in the X term is in the front); when ascending power permutation, the constant term should be placed in the first place, and the one with the largest power exponent in the last place; In descending order, the constant term is placed at the last place, and the one with large power index is placed at the first place

Consider (2n-m) as a "letter" ¸ arrange the algebraic expressions according to the descending power of "letter"
Consider (2n-m) as a "letter" & # 184; arrange the algebraic formula - 3 (2n-m) & # 178; - 1 - (2n-m) & # 179; + 2 (2n-m) according to the descending power of "letter" (2n-m) to () if m-2n = 4, then the value of this algebraic formula is ()

-3(2n-m)^2-1-(2n-m)^3+2(2n-m)
=-(2n-m)^3-3(2n-m)^2+2(2n-m)-1
If m-2n = 4, then 2n-m = - 4
The above formula
=4^3-3×4^2+2×（-4）-1
=64-48-8-1
=7