Write the coefficient of x² of the following : (x - 1)(3x - 4)
Solution:
Given, the polynomial is (x - 1)(3x - 4)
We have to find the coefficient of x²
By multiplicative and distributive property,
(x - 1)(3x - 4) = x(3x) - 4x - 3x + 4
= 3x² - 4x - 3x + 4
= 3x² - 7x + 4
3x² - 7x + 4 is a quadratic polynomial with the highest degree of exponent as two.
Therefore, the coefficient of x² is three.
✦ Try This: Write the coefficient of x² of the following : 4x² - 5x/2 = 11/4
Given, the polynomial is 4x² - 5x/2 = 11/4
We have to find the coefficient of x²
Rearranging the polynomial,
4x² - 5x/2 - 11/4 = 0
16x² - 10x - 11 = 0
16x² - 10x - 11 is a quadratic polynomial with the highest degree of exponent as two.
Therefore, the coefficient of x² is 16.
☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 2
NCERT Exemplar Class 9 Maths Exercise 2.3 Problem 4(iii)
Write the coefficient of x² of the following : (x - 1)(3x - 4)
Summary:
Polynomials with 2 as the degree of the polynomial are called quadratic polynomials.The coefficient of x² in (x - 1)(3x - 4) is 3
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