Mc Graw Hill Key To Algebra Book 4 Polynomials 1st Edition Chapter 1 Polynomials
Page 1 Exercise 1 Answer
Given expression is x2 − 4.
To find: Degree of x2 − 4.
Given expression is x2-4
\(x^2-4=x^2+0 \times x^1-4 x x^0\)Highest power=2
Therefore, the degree of the polynomial X2-4 of x is 2.
Hence, x2 − 4 is a 2-degree polynomial.
Page 1 Exercise 2 Answer
Given algebraic expression is x2 − 5x + 2.
To find: Degree of x2 − 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, x2 − 5x + 2 is a 2-degree polynomial in x.
Page 1 Exercise 3 Answer
Given algebraic expression is 6x4
To find: Degree of 6x4
Given expression is 6x4
Degree of 6x4
⇒ \(6 x^4=6 x x^4+0 \times x^3+0 \times x^2+0 \times x^1+0 \times x^0\)
highest power =4
Therefore, the degree of the given polynomial is 4
Hence, 6x4 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 5x3 + 2x2 − 4x
To find: Degree of 5x3 + 2x2 − 4x
Given Algebraic expression is 5x3 + 2x2 − 4x
Degree of 5x3 + 2x2 − 4x
5x3 + 2x2 − 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, 5x3 + 2x2 − 4x is a 3-degree polynomial in x.