Question

Which of the following is equivalent to 30p4q3r + 42p2r - 18p2q2r when it is completely factored?

A. 3pr(10p3q3 +12p - 9pq2)
B.6(5p4q3r + 7p2r - 3p2q2r)
C.6p2q2r(5p2q + 4)
D.6p2r(5p2q3 +7- 3q2)

Answer 1

Help please ????

Answer 2

\[\large
30p^4q^3r + 42p^2r - 18p^2q^2r
\]
What is the highest common factor among: 30, 42, 18 ?
What is the highest common factor among: p^4, p^2, p^2 ?
What is the highest common factor among: q^3, 0, q^2 ?
What is the highest common factor among: r, r, r ?

Answer 3

i dont get it

Answer 4

6

Answer 5

We have to compare LIKE terms and figure the highest COMMON factor.
30, 42, 18 are numbers (constants). They are LIKE terms.
What is the highest common factor among these three numbers?

6 is correct. So we can factor out 6.

The next LIKE terms are: p^4, p^2, p^2
What is the highest common factor?

Answer 6

2

Answer 7

No. p^2 is the highest common factor.

Answer 8

whats the difference ? the exponent ?

Answer 9

Yes. We are trying to factor out the highest common factor.
p^4, p^2, p^2 = p^2 * p^2, p^2, p^2
So p^2 occurs in ALL three expressions.
Sp p^2 is the highest common factor.

Answer 10

For the next term q, it does NOT occur in the middle term 42p^2r.
So the q term cannot be factored out because it is missing in the middle term in the original expression.
So no common factor for q.

Answer 11

The next one is r and it occurs as just r in all three terms.
So r is the highest common factor.

Not put them all together. The highest common factor is: 6p^2r.
Divide each term by the highest common factor: