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

Mc Graw Hill Key To Algebra Book 4 Polynomials 1st Edition Chapter 1 Polynomials Page 1 Exercise 1 Answer

Question 1: Find the Degree Of The Polynomial  x² − 4 ?

Solution:

Given expression is x² − 4.

We Need To find: Degree of 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.

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Mc Graw Hill Key To Algebra Book 4 Polynomials 1st Edition Chapter 1 Polynomials Page 1 Exercise 2 Answer

Question 2: Find the Degree Of The Polynomial x² − 5x + 2 ?

Solution:

Given algebraic expression is x² − 5x + 2.

We Need To find: 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.

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Mc Graw Hill Key To Algebra Book 4 Polynomials 1st Edition Chapter 1 Polynomials Page 1 Exercise 3 Answer

Question 3: Find the Degree Of The Polynomial  6x⁴ ?

Solution:

Given algebraic expression is 6x⁴

We Need To find: 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.

Mc Graw Hill Key To Algebra Book 4 Polynomials 1st Edition Chapter 1 Polynomials Page 1 Exercise 4 Answer

Question 4: Find the Degree Of The Polynomial  x+5?

Solution:

Given algebraic expression is x+5

We Need To find: 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.

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Mc Graw Hill Key To Algebra Book 4 Polynomials 1st Edition Chapter 1 Polynomials Page 1 Exercise 5 Answer

Question 5: Find the Degree Of The monomial  8?

Solution:

Given algebraic expression is 8

We Need To find: Degree of 8

8x=8×x⁰

Highest power =0

Therefore, the degree is 0.

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

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Mc Graw Hill Key To Algebra Book 4 Polynomials 1st Edition Chapter 1 Polynomials Page 1 Exercise 6 Answer

Question 6: Find the Degree Of The Polynomial  5x³ + 2x² − 4x ?

Solution:

Given algebraic expression is 5x³ + 2x² − 4x

We Need To find: 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.