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
Answers
Answer:
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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.