Question

Will the product of x2–8 and 4x2–7 be a polynomial?
yes
no
How do you know?
Polynomials are not closed under subtraction.
Polynomials are closed under addition.
Polynomials are closed under multiplication.
Polynomials are not closed under multiplication.
Submit

Answer 1

Yes, the product of \( x^2 - 8 \) and \( 4x^2 - 7 \) will be a polynomial.

**How do you know?**
- Polynomials are closed under multiplication.

This means that when you multiply two polynomials together, the result will also be a polynomial. In this case, both \( x^2 - 8 \) and \( 4x^2 - 7 \) are polynomials, so their product will be a polynomial as well.