Question

Match each polynomial from the first column with a factoring technique in the second column. If none of the techniques can be

used to factor the polynomial, choose none.
49x² +100y²
64a²-48ab+96²
a-3a²+2a-6
144m² 25m²
Factor out GCF
Perfect Square Trinomial :: Difference of Squares
Factor by Grouping
None

Answer 1

Each polynomial is matched with a corresponding factoring technique; 49x² + 100y² cannot be factored; 64a² - 48ab + 9b² is a perfect square trinomial; a - 3a² + 2a³ - 6 can be factored by grouping; and 144m² - 25n² is a difference of squares.

Step-by-step explanation:

The student has provided a list of polynomials and must match each polynomial with the correct factoring technique. Here's how each polynomial corresponds to a factoring technique from the list:

• 49x² + 100y²: None (This is not a difference of squares and cannot be factored as a perfect square trinomial or by grouping.)
• 64a² - 48ab + 9b²: Perfect Square Trinomial (This can be factored into (8a - 3b)², since it is a squared binomial.)
• a - 3a² + 2a³ - 6: Factor by Grouping (You can factor by grouping first two terms and last two terms separately to factor the whole expression.)
• 144m² - 25n²: Difference of Squares (This can be factored into (12m + 5n)(12m - 5n).)