2.4.15.Factor the FF22x-9x-358x²-14x-15a + 12a+.35X5X tby i
Answer (1)
Answer: 1. 2x² - 9x - 35 - Find two numbers that multiply to -70 (2 * -35) and add up to -9. These numbers are -14 and 5.- Rewrite the middle term: 2x² - 14x + 5x - 35- Factor by grouping: 2x(x - 7) + 5(x - 7)- Factor out (x - 7): (x - 7)(2x + 5) 2. 8x² - 14x - 15 - Find two numbers that multiply to -120 (8 * -15) and add up to -14. These numbers are -20 and 6.- Rewrite the middle term: 8x² - 20x + 6x - 15- Factor by grouping: 4x(2x - 5) + 3(2x - 5)- Factor out (2x - 5): (2x - 5)(4x + 3) 3. a² + 12a + 35 - Find two numbers that multiply to 35 and add up to 12. These numbers are 7 and 5.- Factor: (a + 7)(a + 5) 4. x² - 5x - 14 - Find two numbers that multiply to -14 and add up to -5. These numbers are -7 and 2.- Factor: (x - 7)(x + 2) 5. x² - 5x + 6 - Find two numbers that multiply to 6 and add up to -5. These numbers are -3 and -2.- Factor: (x - 3)(x - 2) Therefore, the factored expressions are: 1. (x - 7)(2x + 5)2. (2x - 5)(4x + 3)3. (a + 7)(a + 5)4. (x - 7)(x + 2)5. (x - 3)(x - 2)
