10.3 Multiply polynomials  (Page 3/3)

$4(x+10)$

$6(y+8)$

$15(r-24)$

$12(v-30)$

$\mathrm{-3}(m+11)$

$\mathrm{-4}(p+15)$

$\mathrm{-8}(z-5)$

$\mathrm{-3}(x-9)$

$u(u+5)$

$q(q+7)$

$n(n^2-3n)$

$s(s^2-6s)$

$12x(x-10)$

$9m(m-11)$

$\mathrm{-9}a(3a+5)$

$\mathrm{-4}p(2p+7)$

$6x(4x+y)$

$5a(9a+b)$

$5p(11p-5q)$

$12u(3u-4v)$

$3(v^2+10v+25)$

$6(x^2+8x+16)$

$2n(4n^2-4n+1)$

$3r(2r^2-6r+2)$

$\mathrm{-8}y(y^2+2y-15)$

$\mathrm{-5}m(m^2+3m-18)$

$5q^3(q^2-2q+6)$

$9r^3(r^2-3r+5)$

$\mathrm{-4}{z}^2(3z^2+12z-1)$

$\mathrm{-3}{x}^2(7x^2+10x-1)$

$(2y-9)y$

$(8b-1)b$

$(w-6)·8$

$(k-4)·5$

$(x+4)(x+6)$

$(u+8)(u+2)$

$(n+12)(n-3)$

$(y+3)(y-9)$

$(y+8)(y+3)$

$(x+5)(x+9)$

$(a+6)(a+16)$

$(q+8)(q+12)$

$(u-5)(u-9)$

$(r-6)(r-2)$

$(z-10)(z-22)$

$(b-5)(b-24)$

$(x-4)(x+7)$

$(s-3)(s+8)$

$(v+12)(v-5)$

$(d+15)(d-4)$

$(6n+5)(n+1)$

$(7y+1)(y+3)$

$(2m-9)(10m+1)$

$(5r-4)(12r+1)$

$(4c-1)(4c+1)$

$(8n-1)(8n+1)$

$(3u-8)(5u-14)$

$(2q-5)(7q-11)$

$(a+b)(2a+3b)$

$(r+s)(3r+2s)$

$(5x-y)(x-4)$

$(4z-y)(z-6)$

$(u+4)(u^2+3u+2)$

$(x+5)(x^2+8x+3)$

$(a+10)(3a^2+a-5)$

$(n+8)(4n^2+n-7)$

$(y-6)(y^2-10y+9)$

$(k-3)(k^2-8k+7)$

$(2x+1)(x^2-5x-6)$

$(5v+1)(v^2-6v-10)$

Mental math You can use binomial multiplication to multiply numbers without a calculator. Say you need to multiply $13$ times $15.$ Think of $13$ as $10+3$ and $15$ as $10+5.$

1. ⓐ Multiply $(10+3)(10+5)$ by the FOIL method.
2. ⓑ Multiply $13·15$ without using a calculator.
3. ⓒ Which way is easier for you? Why?

Mental math You can use binomial multiplication to multiply numbers without a calculator. Say you need to multiply $18$ times $17.$ Think of $18$ as $20-2$ and $17$ as $20-3.$

1. ⓐ Multiply $(20-2)(20-3)$ by the FOIL method.
2. ⓑ Multiply $18·17$ without using a calculator.
3. ⓒ Which way is easier for you? Why?

Which method do you prefer to use when multiplying two binomials—the Distributive Property, the FOIL method, or the Vertical Method? Why?

Which method do you prefer to use when multiplying a trinomial by a binomial—the Distributive Property or the Vertical Method? Why?