Question

Which monomial is a perfect cube?

1x10
8x8
9x9
27x15

Answer 1

I think the answer is 8x8 please dont judge me if it is wrong.

Answer 2

Terms are added or subtracted to make a polynomial. The monomial is a perfect cube 8 × 8. Thus, the correct option is B.

What are terms in polynomials?

Terms are added or subtracted to make a polynomial. They're composed of variables and constants all in multiplication.

Example:

 x^3 + 3x +5 is a polynomial consisting 3 terms as

 x³, 3x and 5

If there is one term, the polynomial will be called monomial.

If there are two terms, the polynomial will be called binomial

If there are three terms, the polynomial will be called trinomial

To know the monomial that is a perfect cube, each monomial is needed to be written in a perfect cube form. Therefore, we can write,

• 1 × 10 = 1 × 2 × 5
• 8 × 8 = 2 × 2 × 2 × 2 × 2 × 2
• 9 × 9 = 3 × 3 × 3 × 3
• 27 × 15 = 3 × 3 × 3 × 3 × 5

Now as it can be observed that 8×8 can also be written as,

8 × 8 = 2 × 2 × 2 × 2 × 2 × 2 = 4 × 4 × 4

Hence, the monomial is a perfect cube 8 × 8. Thus, the correct option is B.

Learn more about Polynomials:

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