"I have always declared God to be a distinct personage, Jesus Christ a separate and distinct personage from God the Father, and the Holy Ghost was a distinct personage and a Spirit: and these three constitute three distinct personages and three Gods," (Teachings of Prophet Joseph Smith, p. 370)
The Godhead consists of the three distinct personages and three gods.. The Father Son and Holy Spirit. The Father and Son have bodies of flesh and bones, while the Holy Spirit is a personage of spirit. Robert Millet A Different Jesus page 198
The trinity is three separate Gods: The Father, the Son, and the Holy Ghost. "That these three are separate individuals, physically distinct from each other, is demonstrated by the accepted records of divine dealings with man," (Articles of Faith, by James Talmage, p. 35).
Doctrine and Covenants section 121:
32 According to that which was ordained in the midst of the Council of the Eternal God of all other gods before this world was, that should be reserved unto the finishing and the end thereof, when every man shall enter into his eternal presence and into his immortal rest.
Doctrine and Covenants section 132:
20 Then shall they be gods, because they have no end; therefore shall they be from everlasting to everlasting, because they continue; then shall they be above all, because all things are subject unto them. Then shall they be gods, because they have all power, and the angels are subject unto them.
37 Abraham received concubines, and they bore him children; and it was accounted unto him for righteousness, because they were given unto him, and he abode in my law; as Isaac also and Jacob did none other things than that which they were commanded; and because they did none other things than that which they were commanded, they have entered into their exaltation, according to the promises, and sit upon thrones, and are not angels but are gods.
What’s interesting The Book of Mormon teaches the opposite about the Godhead, rather than three gods and a plurality of gods it teaches only ONE GOD in the Godhead. Even the President of Mormonism commented that the paramount and fullness of the Gospel found in the Book of Mormonism is the ONE GOD of the Trinity.
in Answers to Gospel Questions Vol. 3 pp 98-99 under Counsel given by President Charles W. Penrose
Now, some of our brethren have taken up quite a discussion as to the fulness of the everlasting gospel. We are told that the Book of Mormon contains the fulness of the gospel, that those who like to get up a dispute, say that the Book of Mormon does not contain any reference to the work of salvation for the dead, and that there are many other things pertaining to the gospel that are not developed in that book, and yet we are told that the book contains "the fulness of the everlasting gospel." well what is the fulnesspel? You read carefully the revelation in regard to the three glories, section 76, in the Doctrine and Covanants, and you find there defined what the gospel is, There God the Eternal Father, and Jesus Christ, his son, and the Holy Ghost, are held up as the three persons in the Trinity-the one God the Father, the Word, and the Holy Ghost, all three being one God. When people believe in that doctrine and obey the ordinances which are spoken of in the same list of principals, you get the fulness of the gospel for this reason:
General Conference Report, April 1922, pp 27-28.
2 Nephi 31:
21 And now, behold, my beloved brethren, this is the way; and there is none other way nor name given under heaven whereby man can be saved in the kingdom of God. And now, behold, this is the doctrine of Christ, and the only and true doctrine of the Father, and of the Son, and of the Holy Ghost, which is one God, without end. Amen.
44 Now, this restoration shall come to all, both old and young, both bond and free, both male and female, both the wicked and the righteous; and even there shall not so much as a hair of their heads be lost; but everything shall be restored to its perfect frame, as it is now, or in the body, and shall be brought and be arraigned before the bar of Christ the Son, and God the Father, and the Holy Spirit, which is one Eternal God, to be judged according to their works, whether they be good or whether they be evil.
7 And he hath brought to pass the redemption of the world, whereby he that is found guiltless before him at the judgment day hath it given unto him to dwell in the presence of God in his kingdom, to sing ceaseless praises with the choirs above, unto the Father, and unto the Son, and unto the Holy Ghost, which are one God, in a state of happiness which hath no end.
The Testimony of Three Witnesses
And the honor be to the Father, and to the Son, and to the Holy Ghost, which is one God. Amen.
1 Nephi 13: 41 And they must come according to the words which shall be established by the mouth of the Lamb; and the words of the Lamb shall be made known in the records of thy seed, as well as in the records of the twelve apostles of the Lamb; wherefore they both shall be established in one; for there is one God and one Shepherd over all the earth.
President Charles W. Penrose was correct when he said The Paramount and Fullness of the Gospel found in the Book of Mormon is the Trinity taught in the 4th and 5th century Creeds