A $3^{rd}$ -degree binomial with a constant term of $8$ .

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Solution

Find the third-degree binomial with a constant term $8$ .
It is known that the binomial has two terms.
The one term that is constant term is given by $8$ .
The degree of the binomial should be $3$ . So that the power of another term must be $3$ .
The following binomial satisfies all these given conditions:
$5 x^{3} + 8$ .
Therefore, the required third-degree binomial with the constant term $8$ is $5 x^{3} + 8$ .

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Similar questions

Write the polynomial in x using the given information.
(i) Monomial with degree 7

(ii) Binomial with degree 35

(iii) Trinomial with degree 8

(i) Give an example of a monomial of degree 5.
(ii) Give an example of a binomial of degree 8.
(iii) Given an example of a binomial of degree 4.
(iv) Give an example of a monomial of degree 0.

Question 2
Write whether the following statements are true or false. Justify your answer.

i. A Binomial can have atmost two terms.

ii. Every polynomial is a Binomial.

iii. A binomial may have degree 5.

iv. Zero of a polynomial is always 0.

v. A polynomial cannot have more than one zero.

vi. The degree of the sum of two polynomials each of degree 5 is always 5.

Q. (i) Give an example of a monomial of degree 5.
(ii) Give an example of a binomial of degree 8.
(iii) Give an example of a trinomial of degree 4.
(iv) Give an example of a monomial of degree 0.

Give an example of a $3 r d$ degree binomial with a constant term of $8$ .

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A 3rd-degree binomial with a constant term of 8.

A $3^{rd}$ -degree binomial with a constant term of $8$ .