Respuesta :
Answer:
B
Step-by-step explanation:
Given
y² - 12y + 32
Consider the factors of the constant term (+ 32) which sum to give the coefficient of the x- term (- 12)
The factors are - 4 and - 8, since
- 4 × - 8 = + 32 and - 4 - 8 = - 12, thus
y² - 12y + 32 = (x - 4)(x - 8) → B
The completely factored form of expression y^2-12y+32 is Option B (y-4)(y-8).
An expression is given i.e., y^2-12y+32
The complete factor form of the given expression.
For factorising the expression y^2-12y+32
At first, we have to find the factors of 32
So, 32=2x2x2x2x2=8x4
Therefore, we can write -12 as (-8-4)
Now, y^2-12y+32 = y^2-8y-4y+32
= y(y-8)-4(y-8)
= (y-8)(y-4)
Hence, the complete factored form of the given expression is (y-8)(y-4).
What is factorization and example?
In math, factorization is when you break a number down into smaller numbers that, multiplied together, give you that original number. When you split a number into its factors or divisors, that's factorization. For example, factorization of the number 12 might look like 3 times 4.
What is the factorization formula?
The general factorization formula is expressed as N = Xa × Yb × Zc. Here, X, Y, Z represent the factors of a factorized number.
What is a factorization in math?
In mathematics, factorization (or factorisation, see English spelling differences) or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind.
To learn more about factorization, refer to:
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