Respuesta :
Answer:
x^2+8x +16 >> (x+4)^2
x^3-64 >> (x-4)(x^2+4x+16)
x^2-16 >> (x-4)(x+4)
Step-by-step explanation:
Each polynomial is matched to its factored form. These are the correct answers. I did this on EDGE!
Polynomial is an expression that consists of indeterminates(variable) and coefficients.
What are polynomials?
Polynomial is an expression that consists of indeterminates(variable) and coefficients, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.
To know which polynomial to match, solve the factors.
A.) (x-4)(x²+4x+16)
[tex](x-4)(x^2+4x+16)\\\\=x(x^2+4x+16)-4(x^2+4x+16)\\\\= x^3 + 4x^2 + 16x - 4x^2-16x-64\\\\=x^3 -64[/tex]
Hence, (x-4)(x²+4x+16) will match x³-64.
B.) (x+4)²
[tex](x+4)^2\\\\= x^2+8x+16\\[/tex]
Hence, (x+4)² will match x²+8x+16.
C.) (x-4)(x+4)
[tex](x-4)(x+4)\\\\ = x^2-16[/tex]
Hence, (x-4)(x+4) will match x²-16.
Learn more about Polynomial:
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