Chapter 3

Find each indicated product. Remember the shortcut for multiplying binomials and the other special patterns we discussed in this section. $$(t+9)^{2}$$

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

Subtract the polynomials using the horizontal format. \(2 x^{3}+x^{2}-7 x-2\) from \(5 x^{3}+2 x^{2}+6 x-13\)

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

Factor completely each of the polynomials and indicate any that are not factorable using integers. $$4 x^{2}-x+6$$

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. $$x^{4}-16$$

Factor completely. $$12 x^{3}-10 x^{2}$$

Find each indicated product. Remember the shortcut for multiplying binomials and the other special patterns we discussed in this section. $$(t+13)^{2}$$

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

Subtract the polynomials using the horizontal format. \(6 x^{3}+x^{2}+4\) from \(9 x^{3}-x-2\)

Solve each equation. You will need to use the factoring techniques that we discussed throughout this chapter. $$15 x^{2}+34 x+15=0$$

Factor completely each of the polynomials and indicate any that are not factorable using integers. $$8 x^{2}+26 x-45$$

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. $$n^{4}-81$$

Factor completely. $$18 a^{2} b+27 a b^{2}$$

Find each indicated product. Remember the shortcut for multiplying binomials and the other special patterns we discussed in this section. $$(y-7)^{2}$$

Find each product. $$(-a b)(-3 a b)(-6 a b)$$

Subtract the polynomials using the vertical format. \(5 x-2\) from \(12 x+6\)

Solve each equation. You will need to use the factoring techniques that we discussed throughout this chapter. $$20 x^{2}+41 x+20=0$$

Factor completely each of the polynomials and indicate any that are not factorable using integers. $$6 x^{2}+13 x-33$$

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. $$4 x^{2}+9$$

Factor completely. $$24 a^{3} b^{2}+36 a^{2} b$$

Find each indicated product. Remember the shortcut for multiplying binomials and the other special patterns we discussed in this section. $$(y-4)^{2}$$

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

Subtract the polynomials using the vertical format. \(3 x-7\) from \(2 x+1\)

Solve each equation. You will need to use the factoring techniques that we discussed throughout this chapter. $$8 n^{2}-47 n-6=0$$

Factor completely each of the polynomials and indicate any that are not factorable using integers. $$6-35 x-6 x^{2}$$

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. $$3 x^{3}+27 x$$

Factor completely. $$12 x^{3} y^{4}-39 x^{4} y^{3}$$

Find each indicated product. Remember the shortcut for multiplying binomials and the other special patterns we discussed in this section. $$(4 x+5)(x+7)$$

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

Subtract the polynomials using the vertical format. \(-4 x+7\) from \(-7 x-9\)

Solve each equation. You will need to use the factoring techniques that we discussed throughout this chapter. $$7 x^{2}+62 x-9=0$$

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

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. $$20 x^{3}+45 x$$

Factor completely. $$15 x^{4} y^{2}-45 x^{5} y^{4}$$

Find each indicated product. Remember the shortcut for multiplying binomials and the other special patterns we discussed in this section. $$(6 x+5)(x+3)$$

Find each product. $$\left(\frac{3}{4} x\right)\left(-4 x^{2} y^{2}\right)\left(9 y^{3}\right)$$

Subtract the polynomials using the vertical format. \(-6 x-2\) from \(5 x+6\)

Solve each equation. You will need to use the factoring techniques that we discussed throughout this chapter. $$28 n^{2}-47 n+15=0$$

Factor completely each of the polynomials and indicate any that are not factorable using integers. $$20 y^{2}+31 y-9$$

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. $$4 x^{3} y-64 x y^{3}$$

Factor completely. $$8 x^{4}+12 x^{3}-24 x^{2}$$

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

Find each product. $$(12 y)(-5 x)\left(-\frac{5}{6} x^{4} y\right)$$

Subtract the polynomials using the vertical format. \(2 x^{2}+x+6\) from \(4 x^{2}-x-2\)

Solve each equation. You will need to use the factoring techniques that we discussed throughout this chapter. $$24 n^{2}-38 n+15=0$$

Factor completely each of the polynomials and indicate any that are not factorable using integers. $$8 y^{2}+22 y-21$$

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. $$12 x^{3}-27 x y^{2}$$

Factor completely. $$6 x^{5}-18 x^{3}+24 x$$

Find each indicated product. Remember the shortcut for multiplying binomials and the other special patterns we discussed in this section. $$(5 y-2)(5 y+2)$$