What are the coefficients of x^2 and x^3 in the polynomial x^4 -…

Question 4 of 49beginner🧠 RememberVery Short1 mark

What are the coefficients of $x^{2}$ and $x^{3}$ in the polynomial $x^{4}$ - $3x^{3}$ + $6x^{2}$ - 2x + 7?

Correct Answer

Coefficient of $x^{2}$ = 6, Coefficient of $x^{3}$ = -3

Exercise: EXERCISE SET 2.1 | Q: 3 | (Page 3)

For More Understanding

Explanation

In a polynomial, the coefficient of a term is the numerical factor multiplied by the variable raised to a specific power. For the polynomial $x^{4}$ - $3x^{3}$ + $6x^{2}$ - 2x + 7, the term with $x^{3}$ is - $3x^{3}$ , making its coefficient -3. Similarly, the term with $x^{2}$ is $6x^{2}$ , making its coefficient 6.

Solution Steps

Step 1: Identify the given polynomial: $x^{4}$ - $3x^{3}$ + $6x^{2}$ - 2x + 7
Step 2: Locate the term containing $x^{3}$ , which is - $3x^{3}$ . The coefficient of $x^{3}$ is -3.
Step 3: Locate the term containing $x^{2}$ , which is $6x^{2}$ . The coefficient of $x^{2}$ is 6.

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