Question

Which equivalent four-term polynomial can be created using the X method? x2 8x 8x 48 x2 – 12x – 4x 48 x2 12x 4x 48 x2 – 8x – 8x 48.

Answer 1

Polynomial are expressions. The equivalent four-term polynomial of x²+16x+48 is x²+12x+4x+48.

What are polynomial?

Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.

In order to find the equivalent four-term polynomial of the given quadratic equation, we will break constant b(16) into two parts such that the sum of the parts is 16, while their product is equal to the product of the constant a(1) and c(48).

Therefore, the solution of the polynomial is,

$x^2+ 16x+48\\\\ = x^2 + 12x+4x+48$

Hence, the equivalent four-term polynomial of x²+16x+48 is x²+12x+4x+48.

Learn more about Polynomial:

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