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DIA
6 days ago
8

What is the factored form of the polynomial x2 - 16x + 48

Mathematics
2 answers:
tester [3.9K]6 days ago
8 0

Answer:  The necessary factored form of the polynomial is (x-4)(x-12).

Step-by-step explanation:  We are tasked with determining the factored version of this polynomial:

P(x)=x^2-16x+48.

To achieve the factored form, we need to identify two numbers that add up to 16 and multiply to 48.

The required numbers are 12 and 4.

The factorization proceeds as follows:

P(x)\\\\=x^2-16x+48\\\\=x^2-(12+4)x+48\\\\=x^2-12x-4x+48\\\\=x(x-12)-4(x-12)\\\\=(x-4)(x-12).

Thus, the necessary factored representation of the polynomial is (x-4)(x-12).

PIT_PIT [3.9K]6 days ago
4 0
(x - 12) (x - 4) is the answer

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