Supply the numbers to write x2+10x+16=0 in its factored form. Enter the lesser number first.(1 point) (x+ )(x+ )=0 Remaining Attempts : 3
To factor the quadratic equation x^2 + 10x + 16 = 0, we need to find two numbers that multiply to 16 and add up to 10. The numbers are 2 and 8, since 2 * 8 = 16 and 2 + 8 = 10.
(x + 2)(x + 8) = 0
To factorize the quadratic equation x^2 + 10x + 16 = 0, we need to find two numbers whose sum is 10 and product is 16.
Let's find the factors of 16:
1 x 16 = 16
2 x 8 = 16
4 x 4 = 16
Since we want the sum to be 10, we choose 2 and 8.
Therefore, we can write the factored form of the equation as (x + 2)(x + 8) = 0.
The lesser number is 2, so the factored form would be (x + 2)(x + 8) = 0.
To factor the quadratic equation x^2 + 10x + 16 = 0, we need to find two numbers that multiply to give 16 and add up to 10.
The numbers are 2 and 8 because 2 * 8 = 16 and 2 + 8 = 10.
Therefore, the factored form of the equation is (x + 2)(x + 8) = 0.