Solving a high order polynomial by factoring when a is not equal to 1

This video covers various methods of factoring polynomials, including trinomial factoring and grouping techniques.

What is the first step in factoring a polynomial expression?

• Add a constant to balance the equation.

• Divide each term by the leading coefficient.

• Multiply all terms by the highest degree term.

• Identify and factor out the greatest common factor.

When factoring a trinomial, what should the first two terms of the binomials multiply to?

• The middle term of the trinomial.

• The first term of the trinomial.

• The leading coefficient of the trinomial.

• The constant term of the trinomial.

Which method is commonly used to verify if the factored form of a polynomial is correct?

• Multiplying the factors back out.

• Substituting random values.

• Graphing the polynomial.

• Using the quadratic formula.

What is the multiplicity of a zero if it appears twice in the factored form?

• Two

• Three

• Zero

• One

How do you determine the zeros of a polynomial from its factored form?

• Set each factor equal to zero and solve.

• Add all the coefficients together.

• Multiply the factors and find the sum.

• Divide the constant term by the leading coefficient.