Introduction to Linear Polynomials | Exercise 2.1

Question 5

What is the constant term of the polynomial 9x3+5x28x109x^3 + 5x^2 - 8x - 10?

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Solution

The constant term is the number in a polynomial without a variable.

Step 1 — Identify the polynomial

Let's look at the given polynomial.

We write it down here.

9x3+5x28x109x^3 + 5x^2 - 8x - 10

Step 2 — Find the constant term

We need to find the constant term.

This is the term without any variable.

Let's check each part of the polynomial.

The term 9x39x^3 has x3x^3.

The term 5x25x^2 has x2x^2.

The term 8x-8x has xx.

The term -10 has no variable.

This is our constant term.

10\boxed{-10}

Answer

(i) -10

More questions in Exercise 2.1

Q1

Find the degrees of the following polynomials:

(i) 2x25x+32x^2 - 5x + 3

(ii) y3+2y1y^3 + 2y - 1

(iii) 9-9

(iv) 4z34z - 3

Q2

Write polynomials of degrees 1, 2 and 3.

Q3

What are the coefficients of x2x^2 and x3x^3 in the polynomial x43x3+6x22x+7x^4 - 3x^3 + 6x^2 - 2x + 7?

Q4

What is the coefficient of zz in the polynomial 4z3+5z2114z^3 + 5z^2 - 11?

Q5

What is the constant term of the polynomial 9x3+5x28x109x^3 + 5x^2 - 8x - 10?

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