Question

factor this expression completely.
-21x+28
A. -7(3x-4)
B. -7(3x+4)
C. 7 (3x-4)
D. -(21x-4)

Answer 1

which factorization is equivalent to this expression
-42k-54
A.-6(7k-9)
B. 6(-7k+9)
C. -6(7k+9
D. 6(7k+0)

Answer 2

factor the expression completely
100x+1000
A. 10 (10x+100)
B. 100(x+10)
C. 100(x+100)
D. 1000(10x+1)

Answer 3

simplify
3-(4x-5)+6
A. -4x+14
B. 4x+4
C. 12x+21
D. -4x+4

Answer 4

To factor the expression \(-21x + 28\) completely, we need to find the greatest common factor (GCF) of the terms.

The GCF of \(-21x\) and \(28\) is \(-7\). Now we can factor that out:

\[
-21x + 28 = -7(3x - 4)
\]

So, the completely factored form is:

**A. \(-7(3x - 4)\)**

Thus, the correct answer is **A**.

Answer 5

To factor the expression \(-42k - 54\), we first find the greatest common factor (GCF) of the terms.

1. The GCF of \(-42k\) and \(-54\) is \(-6\).

Now, we can factor out \(-6\):

\[
-42k - 54 = -6(7k + 9)
\]

Next, we can check the answer choices for the equivalent factorization:

- **A.** \(-6(7k - 9)\) - Incorrect
- **B.** \(6(-7k + 9)\) - Correct, since it is equivalent to \(-6(7k + 9)\)
- **C.** \(-6(7k + 9)\) - Correct
- **D.** \(6(7k + 0)\) - Incorrect

Thus, the correct factorizations equivalent to the expression are **B** and **C**. If you are looking for just one equivalent answer choice that matches the complete factored form, then **C** is the direct factorization. The answer could depend on your course's preference for convention, but both B and C are technically equivalent.

Answer 6

To factor the expression \(100x + 1000\) completely, we can first identify the greatest common factor (GCF) of the terms \(100x\) and \(1000\).

1. The GCF of \(100x\) and \(1000\) is \(100\).

Now we can factor out \(100\):

\[
100x + 1000 = 100(x + 10)
\]

So the completely factored form is:

**B. \(100(x + 10)\)**

Thus, the correct answer is **B**.

Answer 7

To simplify the expression \(3 - (4x - 5) + 6\), follow these steps:

1. Distribute the negative sign:
\[
3 - (4x - 5) = 3 - 4x + 5
\]

2. Combine like terms:
\[
3 + 5 - 4x = 8 - 4x
\]

3. Now, add the \(6\) from the original expression:
\[
8 - 4x + 6 = 14 - 4x
\]

So, the simplified expression is:
\[
-4x + 14
\]

Thus, the correct answer is **A. \(-4x + 14\)**.