## Mc Graw Hill Key To Algebra Book 4 Polynomials 1st Edition Chapter 1 Polynomials

**Page 1 Exercise 1 Answer**

Given expression is x^{2 }− 4.

To find: Degree of x^{2} − 4.

Given expression is x^{2}-4

Highest power=2

Therefore, the degree of the polynomial X^{2}-4 of x is 2.

Hence, x^{2} − 4 is a 2-degree polynomial.

**Page 1 Exercise 2 Answer**

Given algebraic expression is x^{2} − 5x + 2.

To find: Degree of x^{2} − 5x + 2.

Given Expression x2-5x+2

Degree of x2-5x+2

\(x^2-5 x+2=x^2-5 \times x^1+2 \times x^0\)Highest power =2

Therefore, the degree of the given polynomial is 2

Hence, x^{2} − 5x + 2 is a 2-degree polynomial in x.

**Page 1 Exercise 3 Answer**

Given algebraic expression is 6x^{4}

To find: Degree of 6x^{4
}

Given expression is 6x^{4}

Degree of 6x^{4}

⇒ \(6 x^4=6 x x^4+0 \times x^3+0 \times x^2+0 \times x^1+0 \times x^0\)

highest power =4

Therefore, the degree of the given polynomial is 4

Hence, 6x^{4} is a 4-degree polynomial in x.

**Page 1 Exercise 4 Answer**

Given algebraic expression is x+5

To find: Degree of x+5

Given expression is x+5

Degree of x+5

\(x+5=1 \times x^1+5 \times x^0\)Highest power =1

Therefore, the degree of the polynomial is 1

Hence, x+5 is a 1-degree polynomial in x.

**Page 1 Exercise 5 Answer**

Given algebraic expression is 8

To find: Degree of 8

Given expression is 8

Degree of 8

8x=8×x°

Highest power =0

Therefore, the degree is 0.

Hence, the 8 is a zero-degree polynomial in x.

**Page 1 Exercise 6 Answer**

Given algebraic expression is 5x^{3} + 2x^{2} − 4x

To find: Degree of 5x^{3} + 2x^{2} − 4x

Given Algebraic expression is 5x^{3} + 2x^{2} − 4x

Degree of 5x^{3} + 2x^{2} − 4x

5x^{3} + 2x^{2} − 4x =\(5 \times x^3+2 \times x^2-4 \times x^1+0 \times x^0\)

Highest power =3

Therefore, the degree of the given polynomial is 3

Hence, 5x^{3} + 2x^{2} − 4x is a 3-degree polynomial in x.