How do you find the product of #(x+7)(x+4)#?

1 Answer
Mar 20, 2018

Answer:

#x^2+11x+28#

Explanation:

We have two binomials, so we can use the highly useful mnemonic FOIL to helps us:

  • Multiply the first terms: #x*x= color(blue)(x^2)#
  • Multiply the outside terms: #x*4=color(blue)(4x)#
  • Multiply the inside terms: #7*x=color(blue)(7x)#
  • Multiply the last terms: #7*4=color(blue)(28)#

Thus, #(x+7)(x+4)# multiplies out to #x^2+4x+7x+28#, which can be simplified to:

#x^2+11x+28#

Hope this helps!