Primary 1 polynomial, junior 1 polynomial question

1,x^4+x^2;x^4-x^2

The sum of these two polynomials is: 2x 4

The difference between these two polynomials is: 2x 2

2,x^4-x^3+x^2-1;The sum of the two polynomials x 4-x 3-x 2+1 is: 2x 4-2x 3

The difference between these two polynomials is: 2x 2-2

The addition and subtraction of polynomials means that the letters must be the same, and the exponents (i.e., the numbers in the upper right corner) of the letters must be the same in order to be added or subtracted. Addition and subtraction is actually the addition and subtraction of coefficients. x 2+x 4 have the same letters, but their exponents are different, so they cannot be combined.

I didn't have time to do the math.

3 means that the sum of formula 1 plus formula 2 is equal to a monomial, and the number of mononomials is 4, that is, there is a small four word in the upper right corner, understand? The same goes for the rest.

2.If you change the quadratic mononomial and quadratic mononomial in condition 3 to quadratic polynomial and quadratic polynomial, please write the two more polynomials that meet the conditions.

That is to say, it is a polynomial if there are multiple terms, that is, x+y+z. (MS is uh.) - Go find Baidu Encyclopedia.

An ax-like to the nth power is called an n-degree monomial.

As illustrated by condition 3, these two polynomials have only 2 terms.

Combining the three conditions, these two polynomials are the square of x to the power of x, and the square of x to the power of x.

Or x to the power of 4 x squared, and x to the power of 4 x squared.

1, (2) to the power of (m1) of the power of y x y to the fourth power of xy 3x 6 is a sixth-order quadrive, then: m 1 = 4, get: m = 3;Again:

The power of 2n y of 3x is also to the power of 5 m, then: 2n (5 m) = 6, 2n (5 3) = 6, and the solution is: n = 2

2. The sixth term is [11a to the 5th power of b to the 5th power], the coefficient of this term is 11, and the number is 10;

This polynomial is 10 times 11 nomial.

3. When x=2,y=4, the value of the polynomial ax (1 2)by 5 is 2011, then:

8a 2b 5 = 2011, then: 8a 2b = 2006, 4a b = 1003

When x = 4, y = 1 2, 3ax 24by 4009 = 12a 3b 4009 = 3(4a b) 4009 = 3009 4009 = 1000

Solution: The first question should be a 5-time trinomial.

The number of terms with the highest degree in the polynomial is the number of the second oldest loss of the polynomial. Note the number of "terms" here, not the number of letters. For example, in the second question of the second question, the number of -2s(2)b(2) is the exponent of s, 2+b, and the exponent 2=4

In the third question, the number of -by(3) is the exponent of b: 1 + the exponent of y: 3=4

Oniichan is here to help.

1. S semi-circle area + rectangular area.

The length of the rectangular side a=2r,b=(l- r-2r) 2s= *r*r 2+r*(l- r-2r) is an integer, but s is not necessarily an integer 2, s=

Bring in the values separately to calculate.

It is found that from DS DR=10-7R, S increases and decreases in the defined domain [1, and the internal monotonicity increases and then decreases, so that DS DR=0 and S achieves a maximum value at R=10 7, so when R", the area S increases, the area S reaches the maximum when R=, and R decreases when R >.

: once binomial.

3x+5y+2z: trinomial.

1 2ab- r: quadratic binomial.

x +2x + 18: quadratic trinomial.

2.The polynomial 5a 4b-a 3b 2+1 2a+6a b -1 is 5 times 5 terms, and to the power of a is 5a 4b-a 3b 2+6a b +1 2a-1

x-2) 2 + y+1 =0, giving x=2, y=-1.

5xy^2-[2x^2y-（3xy^2-2x^2y）]2xy^2-4x^2y

x 2 refers to the square of x.

Note that the 8xy 2 upstairs is wrong!

Solution: It can be known from the meaning of the title.

x-2）2=0 |y+1|=0

x=-2 y=-1

5xy2-[2x2y-(3xy2-2x2y)] Note: It means because , the meaning is so).