Chapter 3

Factor completely. $$12 x+8 y$$

Find each indicated product. Remember the shortcut for multiplying binomials and the other special patterns we discussed in this section. $$(x-2)^{2}$$

Find each product. $$(-2 x)\left(-6 x^{3}\right)\left(x^{2}\right)$$

Subtract the polynomials using the horizontal format. \(7 x+5\) from \(2 x-1\)

Solve each equation. You will need to use the factoring techniques that we discussed throughout this chapter. $$(x-5)(x+3)=9$$

Factor completely each of the polynomials and indicate any that are not factorable using integers. $$4 a^{2}+3 a-27$$

Factor each of the following polynomials completely. Indicate any that are not factorable using integers. Don't forget to look first for a common monomial factor. $$5 x^{2}+5$$

Factor completely. $$6 x^{2}+14 x$$

Find each indicated product. Remember the shortcut for multiplying binomials and the other special patterns we discussed in this section. $$(x-6)(x-8)$$

Find each product. $$\left(-6 x^{2}\right)\left(3 x^{3}\right)\left(x^{4}\right)$$

Subtract the polynomials using the horizontal format. \(-4 a-5\) from \(6 a+2\)

Solve each equation. You will need to use the factoring techniques that we discussed throughout this chapter. $$3 w^{3}-24 w^{2}+36 w=0$$

Factor completely each of the polynomials and indicate any that are not factorable using integers. $$12 a^{2}+4 a-5$$

Factor each of the following polynomials completely. Indicate any that are not factorable using integers. Don't forget to look first for a common monomial factor. $$7 x^{2}+28$$

Factor completely. $$15 x^{2}+6 x$$

Find each indicated product. Remember the shortcut for multiplying binomials and the other special patterns we discussed in this section. $$(x-3)(x-13)$$

Find each product. $$\left(-7 x^{2}\right)(3 x)\left(4 x^{3}\right)$$

Subtract the polynomials using the horizontal format. \(5 a+7\) from \(-a-4\)

Solve each equation. You will need to use the factoring techniques that we discussed throughout this chapter. $$16-x^{2}=0$$

Factor completely each of the polynomials and indicate any that are not factorable using integers. $$3 n^{2}-7 n-20$$

Factor each of the following polynomials completely. Indicate any that are not factorable using integers. Don't forget to look first for a common monomial factor. $$8 y^{2}-32$$

Factor completely. $$28 y^{2}-4 y$$

Find each indicated product. Remember the shortcut for multiplying binomials and the other special patterns we discussed in this section. $$(x+1)(x-2)(x-3)$$

Find each product. $$\left(x^{2} y\right)\left(-3 x y^{2}\right)\left(x^{3} y^{3}\right)$$

Subtract the polynomials using the horizontal format. \(3 x^{2}-x+2\) from \(7 x^{2}+9 x+8\)

Solve each equation. You will need to use the factoring techniques that we discussed throughout this chapter. $$16 t^{2}-72 t+81=0$$

Factor completely each of the polynomials and indicate any that are not factorable using integers. $$4 n^{2}+7 n-15$$

Factor each of the following polynomials completely. Indicate any that are not factorable using integers. Don't forget to look first for a common monomial factor. $$5 y^{2}-80$$

Factor completely. $$42 y^{2}-6 y$$

Find each indicated product. Remember the shortcut for multiplying binomials and the other special patterns we discussed in this section. $$(x-1)(x+4)(x-6)$$

Find each product. $$\left(x y^{2}\right)(-5 x y)\left(x^{2} y^{4}\right)$$

Subtract the polynomials using the horizontal format. \(5 x^{2}+4 x-7\) from \(3 x^{2}+2 x-9\)

Solve each equation. You will need to use the factoring techniques that we discussed throughout this chapter. $$n^{2}+7 n-44=0$$

Factor completely each of the polynomials and indicate any that are not factorable using integers. $$3 x^{2}+10 x+4$$

Factor each of the following polynomials completely. Indicate any that are not factorable using integers. Don't forget to look first for a common monomial factor. $$a^{3} b-9 a b$$

Factor completely. $$20 x y-15 x$$

Find each indicated product. Remember the shortcut for multiplying binomials and the other special patterns we discussed in this section. $$(x-3)(x+3)(x-1)$$

Find each product. $$\left(-3 y^{2}\right)\left(-2 y^{2}\right)\left(-4 y^{5}\right)$$

Subtract the polynomials using the horizontal format. \(2 a^{2}-6 a-4\) from \(-4 a^{2}+6 a+10\)

Solve each equation. You will need to use the factoring techniques that we discussed throughout this chapter. $$2 x^{3}=50 x$$

Factor completely each of the polynomials and indicate any that are not factorable using integers. $$4 n^{2}-19 n+21$$

Factor each of the following polynomials completely. Indicate any that are not factorable using integers. Don't forget to look first for a common monomial factor. $$x^{3} y^{2}-x y^{2}$$

Factor completely. $$27 x y-36 y$$

Find each indicated product. Remember the shortcut for multiplying binomials and the other special patterns we discussed in this section. $$(x-5)(x+5)(x-8)$$

Find each product. $$\left(-y^{3}\right)(-6 y)\left(-8 y^{4}\right)$$

Subtract the polynomials using the horizontal format. \(-3 a^{2}-6 a+3\) from \(3 a^{2}+6 a-11\)

Solve each equation. You will need to use the factoring techniques that we discussed throughout this chapter. $$3 x^{2}=75$$

Factor completely each of the polynomials and indicate any that are not factorable using integers. $$10 n^{2}-29 n-21$$

Factor each of the following polynomials completely. Indicate any that are not factorable using integers. Don't forget to look first for a common monomial factor. $$16 x^{2}+25$$

Factor completely. $$7 x^{3}+10 x^{2}$$