Restate the question: Factor the polynomial x2 + 7x + 10.
You look for two numbers which multiply to make 10 and add to make 7. They are 5 and 2. Now put them into the two factors: (x + 5)(x + 2).
Check your factors by multiplying using 'FOIL': x2 + 2x + 5x + 10 = x2 + 7x + 10. Check!
Factor the polynomial x2 - 10x + 25. Enter each factor as a polynomial in descending order.
(3x + 4)(3x + 4)
(x+1)(x+9)
(x-3)(x+8)
(x - 3)(x - 3)
Factor the polynomial x2 - 10x + 25. Enter each factor as a polynomial in descending order.
The polynomial IS written in descending order.
(3x + 4)(3x + 4)
(x + 8)(x + 1)
(x+1)(x+9)
(x-3)(x+8)
(x-2)(x-3)
(x - 3)(x - 3)
(x + 8)(x + 1)
2x+5x-24 7x2-24
(x-4) (x+7)
(x + 1)(x + 2)