Answer:
the expression 2x² - 14x + 3x - 21 factors to (2x + 3)(x - 7) by grouping.
Explanation:
To factor the expression 2x² - 14x + 3x - 21 by grouping, we can group the first two terms and the last two terms together:
(2x² - 14x) + (3x - 21)
We can then factor out the greatest common factor from each group:
2x(x - 7) + 3(x - 7)
Notice that we now have a common factor of (x - 7) in both terms. We can factor it out to get the final factored form:
(2x + 3)(x - 7)
Therefore, the expression 2x² - 14x + 3x - 21 factors to (2x + 3)(x - 7) by grouping.