factoring polynomials

What is a trinomial?

• A polynomial with two terms

• A polynomial with three terms, typically in the form @@ax^2 + bx + c@@

• A polynomial with four terms

• A polynomial with one term

What does GCF stand for in factoring?

• Greatest Common Factor

• Greatest Common Fraction

• General Common Factor

• Greatest Common Function

What is the relationship between factoring and solving quadratic equations?

• Factoring a quadratic equation allows us to find its roots by setting each factor equal to zero.

• Factoring is only used for linear equations, not quadratic equations.

• Factoring a quadratic equation is a method to simplify it without finding its roots.

• Factoring and solving quadratic equations are unrelated processes.

How do you factor a trinomial?

• Find two numbers that multiply to @@ac@@ and add to @@b@@ (the coefficient of @@x@@).

• Multiply the coefficients of @@x^2@@ and the constant term.

• Add the coefficients of @@x^2@@ and the constant term.

• Use the quadratic formula to find the roots.

• (x + 6)(x - 6)

• (x + 12)(x - 3)

• (x - 6)(x - 6)

• (x + 6)(x + 6)

What is the purpose of factoring polynomials?

• To simplify expressions and make solving equations easier.

• To increase the complexity of polynomial functions.

• To convert polynomials into exponential functions.

• To eliminate variables from equations.

What is the factored form of @@3x^2 - 75@@?

• 3(x + 5)(x - 5)

• (x + 5)(3x - 15)

• (3x + 15)(x - 5)

• 3(x^2 - 25)

• 10x^2(8x^3 - 7 - 6x^5)

• 5x(16x^4 - 14x - 12x^6)

• 2x(40x^4 - 35x - 30x^6)

• 20x^2(4x^3 - 3.5 - 3x^5)

What is the first step in factoring a polynomial?

• Look for a common factor in all the terms of the polynomial.

• Rearrange the terms in descending order.

• Apply the quadratic formula to find the roots.

• Use synthetic division to simplify the polynomial.

Factor the polynomial: @@2x^2 - 3x - 14@@

• (2x - 7)(x + 2)

• (2x + 7)(x - 2)

• (x - 7)(2x + 2)

• (2x - 14)(x + 1)