1.) Muliply 5 x 3. Your answer is 15.
2.) The two factors you have will have to multiply to be 15 and add to be 16.
3.) The two factors are 1 and 15. ( 1x 15 = 15) (1 + 15 = 16 )
4.) Your polynomial now looks like... 3z^2+1z+15z+5
5.) Next you have to seperate the polynomial into 3z^2+z and 15z+5
6.) Then you factor the two smaller equations...
3z^2+z 15z+5
----------- ----------
z 5
3z+ 1 3z+1
Your answer is made up of the answer your get once you divide... (3z+1) and what you divided to get 3z+1 which is z+5.
***** (3z+1) (z+5) ***** <-- your final answer :)
Hope this helped :)
2.) The two factors you have will have to multiply to be 15 and add to be 16.
3.) The two factors are 1 and 15. ( 1x 15 = 15) (1 + 15 = 16 )
4.) Your polynomial now looks like... 3z^2+1z+15z+5
5.) Next you have to seperate the polynomial into 3z^2+z and 15z+5
6.) Then you factor the two smaller equations...
3z^2+z 15z+5
----------- ----------
z 5
3z+ 1 3z+1
Your answer is made up of the answer your get once you divide... (3z+1) and what you divided to get 3z+1 which is z+5.
***** (3z+1) (z+5) ***** <-- your final answer :)
Hope this helped :)
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(3*z + 1)*(z + 5)
Consider: the coefficients of z must multiply to give 3. The only factors of 3 are 3 and 1.
The constants must multiply to give 5. The only factors of 5 are 5 and 1.
So is it (3*z + 1)*(z + 5) or (3*z + 5)*(z + 1)? Use FOIL to multiply them out, and you'll find it's the first one- the other gives 8*z, not 16*z in the middle.
Consider: the coefficients of z must multiply to give 3. The only factors of 3 are 3 and 1.
The constants must multiply to give 5. The only factors of 5 are 5 and 1.
So is it (3*z + 1)*(z + 5) or (3*z + 5)*(z + 1)? Use FOIL to multiply them out, and you'll find it's the first one- the other gives 8*z, not 16*z in the middle.
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3z^2+16z+5
(3z+1)(z+5)
(3z+1)(z+5)