9x4 + 4x3 - 27x2 + 12x <------ Factor by finding the GCF

x2 + 2x - 15 <--------Factor by grouping

For these problems, identify which of the methods from this lesson (GCF, grouping, difference of squares, or perfect squares) could be used to factor the polynomial.

17. x2 + 2x + 1

A This polynomial could be factored by finding the GCF, then by grouping or using the perfect squares method.
B This polynomial could be factored by using the difference of squares method, perfect squares method, or grouping.
D This polynomial could be factored only by using the difference of squares method.
E This polynomial could be factored by using grouping or the perfect squares methods.
F This polynomial cannot be factored by any of the methods used in this lesson.

19. x2 - 169

A This polynomial could be factored by finding the GCF, then by grouping or using the perfect squares method.
B This polynomial could be factored by using the difference of squares method or grouping.
C This polynomial could be factored only by using the perfect squares method.
D This polynomial could be factored by using grouping or the perfect squares methods.
F This polynomial cannot be factored by any of the methods used in this lesson.

Solution Summary

This is a series of questions regarding factoring polynomials.

...Factor each polynomial completely by factoring out any common factors and then factor by grouping. ... which of the following trinomials can be factored. ...

... It can't be factored. ... Solving Quadratic Equations by Factoring. Solve the equation using zero factor property F. 2h 2 − h − 3 = 0 Solve the equation using ...

Mathematics Help: Factoring Polynomials. See the attached file. Find the prime factorization of this number. 72. Factor out the greatest common factor. ...

Finding rational zeros and factoring polynomials. ... Write the polynomial in factored form. ... a rational zero p/q, then p is a factor of a_0 and q is a factor of a_n ...

... 18 Solve by factoring. ... (x + 5) (2x + 1) So the factors of the given polynomials is (x + 5) and (2x +1). #88 Factor the polynomial completely. ...

... Strategy for factoring ax^2 + bx + c by the ac Method To factor the trinomial ax^2 + bx + c: 1 ... 3. Factor the resulting four-term polynomial by grouping. ...

... a2 - a = - a( ). Factor each polynomial by factoring out the GCF. #20. 2a2 - 4ab2 - ab. ...Factor each polynomial by factoring out the GCF. #20. 2a2 4ab2 ab. ...

... Twenty-five problems involving the factoring of polynomials are solved. Math Review Sheet Algebra 1. 1. Factor completely, or state that the polynomial is prime ...