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ale4655 [162]
2 years ago
8

Simplify the given polynomial and use it to complete the statement.

Mathematics
2 answers:
lutik1710 [3]2 years ago
7 0

Answer:

Option A,C,B

The polynomial simplifies to an expression that is a quadratic binomial with the degree 2.

Step-by-step explanation:

Given : Expression (-5x^2-2x+4)+(8x^2-x-1)-(x+2)(x-5)

To find : Simplify the given polynomial and use it to complete the statement?

Solution :

Step 1 - Write the expression

(-5x^2-2x+4)+(8x^2-x-1)-(x+2)(x-5)

Step 2 - Open the last bracket using distributive property (a+b)(c+d)=ac+ad+bc+bd

=(-5x^2-2x+4)+(8x^2-x-1)-(x^2-5x+2x-10)

Step 3 - Open all the parenthesis

=-5x^2-2x+4+8x^2-x-1-x^2+5x-2x+10

Step 4 - Add the like terms and solve

=2x^2+13

So, The simplified expression is

(-5x^2-2x+4)+(8x^2-x-1)-(x+2)(x-5)=2x^2+13

The simplified form contains two elements hence the given polynomial is binomial and the highest power is 2 so, the degree is 2.

The polynomial simplifies to an expression that is a quadratic binomial with the degree 2.

Lorico [155]2 years ago
4 0

Answer:

1)  2x^{2}+13

2) Option C.

3) Option B.

Step-by-step explanation:

1. You must apply the Distributive property as following:

(-5x^2-2x+4)+(8x^2-x-1)-(x^{2}-5x+2x-10)

2. Now, you must distribute the negative sign, then you have:

-5x^2-2x+4+8x^2-x-1-x^{2}+5x-2x+10

3. Finally, you must add the like terms. Then you obtain the polynomial:

2x^2+13

4. By definition, a polynomial that has two terms is classified as a binomial. Therefore, the answer is the option C.

5. The degree of a polynomial is determined by highest exponent of the variable. So, it is a polynomial of degree 2 (option B).

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