IDNLearn.com: Where your questions meet expert answers and community support. Our platform provides detailed and accurate responses from experts, helping you navigate any topic with confidence.

Need Help
Factoring completely. If polynomial is not factorable, write prime.


1.) 21x^3-18x^2y+ 24xy^2
2.) a^2+ 7a-18
3.) b^2 +8b + 7
4..) 4f^2-64
5.) 9x^2 + 25
6.) 8j^3k-4jk^3-7
8.) 2ak- 6a+k-3
9.)y^2+18y+81


Sagot :

[tex]1)\ 21x^3-18x^2y+24xy^2=3x(7x^2-6xy+8y^2)\\\\2)\ a^2+7a-18=a^2+9a-2a-18=a(a+9)-2(a+9)\\=(a+9)(a-2)\\\\3)\ b^2+8b+7=b^2+b+7b+7=b(b+1)+7(b+1)\\=(b+1)(b+7)\\\\4)\ 4f^2-64=4(f^2-16)=4(f^2-4^2)=4(f-4)(f+4)\\\\5)\ 9x^2+25-not\ factorable[/tex]

[tex]6)\ 8j^3k-4jk^3-7-not\ factorable\\\\8)\ 2ak-6a+k-3=2a(k-3)+1(k-3)=(k-3)(2a+1)\\\\9)\ y^2+18y+81=y^2+2y\cdot9+9^2=(y+9)^2=(y+9)(y+9)[/tex]