Question

A, b, and c are polynomials, where: a = 3x – 4 b = x 7 c = x2 2 what is a2 – (b c) in simplest form? 8x2 – 25x 7 8x2– 25x 11 10x2 – 25x 7 10x2 – 25x 11

Answer 1

The expression A² – (B + C) in its simplest form is 8x² – 25x + 7

What is the polynomial?

A polynomial function is an expression constructed with one or more terms of variables with constant exponents.

Data obtained from the question

A = 3x – 4, B = x + 7, C = x² + 2, A² – (B + C) =?

The simplest form of the polynomial is given by;

(3x – 4)² – (x + 7 + x² + 2)

9x² – 12x – 12x + 16 – (x + x² + 9)

9x² – 24x + 16 – x – x² – 9

9x² – x² – 24x – x + 16  – 9

8x² – 25x + 7

Hence, the simplest form of the polynomial is A² – (B + C) = 8x² – 25x + 7.

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