Factoring Polynomials Quiz

What is the first step in factoring a trinomial using the AC method?

• Add the coefficients of the first and last terms.

• Multiply the coefficients of the first and last terms.

• Subtract the coefficients of the first and last terms.

• Divide the coefficients of the first and last terms.

When rearranging terms in a polynomial, what should you ensure about the factors?

• They should be the same in each grouping.

• They should be even numbers.

• They should be prime numbers.

• They should be different in each grouping.

Why is it important to put a polynomial in standard form before factoring?

• To make it easier to subtract the terms.

• To simplify the polynomial.

• To ensure the correct factors are found.

• To make it easier to add the terms.

What is a key characteristic of the difference of squares?

• It results in a product of identical factors.

• It results in a sum of squares.

• It results in a product of linear factors.

• It results in a sum of cubes.

How can you identify a difference of cubes in a polynomial?

• By identifying terms that are perfect cubes.

• By checking if all terms are even.

• By looking for terms that are perfect squares.

• By finding terms that are prime numbers.

What should you do if a factor can be further reduced?

• Add it to another factor.

• Reduce it to its simplest form.

• Multiply it by another factor.

• Leave it as it is.

What is the significance of the highest exponent in a polynomial?

• It shows the degree of the polynomial.

• It indicates the number of variables.

• It determines the number of factors.

• It indicates the number of terms in the polynomial.

In the final example, why can't the polynomial be factored further?

• Because it is already in its simplest form.

• Because it contains an addition sign.

• Because it contains a subtraction sign.

• Because it is a prime polynomial.

What is the purpose of factoring polynomials by grouping?

• To express the polynomial as a product of simpler polynomials.

• To find the roots of the polynomial.

• To simplify the polynomial.

• To add the terms of the polynomial.

What should you do if you encounter a polynomial with four terms?

• Factor it by grouping.

• Add all the terms together.

• Multiply all the terms together.

• Divide all the terms by the same number.