Question

Q.1 Write the coefficients of x in each of the following:

● 3x + 1

● 23x^2 – 5x + 1


Q.2 What are the degrees of following polynomials?

1. 3a^2 + A – 1

2. 32x^ +X

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

Q.1 Write the coefficients of x in the following :

• 3x + 1
• 2x² - 5x + 1

A.1 Coefficients are the numbers that are multiplied to a variable (say x, y).

• 3x + 1

》 Here, 3 is the number which is multiplied to the variable x in the polynomial 3x + 1.

• 23x² - 5x + 1

》Here, -5 is the number which is multiplied to a variable x in the polynomial 23x² - 5x + 1.

Learn more :

》Coefficient of x² in the polynomial 23x² - 5x + 1 is 23, as 23 is the number which is multiplied with the variable x² in the polynomial 23x² - 5x + 1.

Q.2 What are the degrees of following polynomials :

• 3a² + a - 1
• 32x² + x

A.2 Degree of a polynomial is the highest power of a variable (say x, y) in a polynomial.

• 3a² + a - 1

》Here, we have 2 as the highest power of the variable a in the term 3a² in the polynomial 3a² + a - 1.

• 32x² + x

》Here, we have 2 as the highest power of the variable x in the term 32x² in the polynomial 32x² + x.

Learn more :

》A polynomial with degree 1 is called linear polynomial.

》A polynomial with degree 2 is called quadratic polynomial.

》A polynomial with degree 3 is called cubic polynomial.

》A polynomial with degree 4 is called bi-quadratic polynomial.

》A polynomial with degree 5 is called quintic polynomial.