x²+12x+35
(x+7)(x+5)
To factor the quadratic polynomial x²+12x+35, we need to find two numbers that multiply to 35 and add to 12. The factors of 35 are 1, 5, 7, and 35. To get the sum of 12, we can choose 5 and 7.
Therefore, we can write x²+12x+35 as (x+5)(x+7). This is the factored form of the quadratic polynomial.
We can check that this is correct by using the distributive property:
(x+5)(x+7) = x(x+7) + 5(x+7) = x² + 7x + 5x + 35 = x²+12x+35.
So, (x+5)(x+7) is the correct factorization of x²+12x+35.
More Answers:
Factoring Quadratic Trinomials: The Foil Technique For X^2 + 5X + 6 = (X+2)(X+3)Step-By-Step Guide: How To Factorize X²-10X+25
How To Factor Quadratic Expressions: A Step-By-Step Guide | Math Tutorial
Error 403 The request cannot be completed because you have exceeded your quota. : quotaExceeded