Determine which factoring technique is appropriate for the given polynomial.
-$$x ^ { 3 } - 7 x ^ { 2 } - 5 x + 35$$
A) difference of squares
B) factoring by grouping
C) sum of cubes
D) difference of cubes

Question

Quizplus · Accepted Answer

Factoring by grouping is the most appropriate technique for this polynomial. We can group the first two terms and the last two terms together:

$$x ^ { 3 } - 7 x ^ { 2 } - 5 x + 35 = x^2(x-7) - 5(x-7) = (x^2-5)(x-7)$$

Therefore, the polynomial can be factored into the product of $(x^2-5)$ and $(x-7)$.

Determine Which Factoring Technique Is Appropriate for the Given Polynomial x3−7x2−5x+35x ^ { 3 } - 7 x ^ { 2 } - 5 x + 35x3−7x2−5x+35

Determine Which Factoring Technique Is Appropriate for the Given Polynomial $x ^ { 3 } - 7 x ^ { 2 } - 5 x + 35$