Subtract the following polynomial. Once simplified, name the resulting polynomial. 5.) (10x² + 8x - 7) - (6x^2 + 4x + 5)

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asked Apr 15, 2023 182k views

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James Paterson · Answer 1 · 2023-04-19T23:18:23+0000

The given polynomial expression: (10x² + 8x - 7) - (6x^2 + 4x + 5)

$\begin{gathered} (10x^2+8x-7)-(6x^2+4x+5) \\ \text{Open the brackets:} \\ (10x^2+8x-7)-(6x^2+4x+5)=10x^2+8x-7-6x^2-4x-5 \\ \text{Arrange the like term together:} \\ (10x^2+8x-7)-(6x^2+4x+5)=10x^2-6x^2+8x-4x-7-5 \\ \text{Simplify the like terms together:} \\ (10x^2+8x-7)-(6x^2+4x+5)=4x^2+4x-12 \end{gathered}$

The resulting polynomial be:

The highest degree of the polynomial is 2 so, the polynomial is Quadratic polynomial

Answer: 4x^2 + 4x - 12, Quadratic polynomial

Subtract the following polynomial. Once simplified, name the resulting polynomial. 5.) (10x² + 8x - 7) - (6x^2 + 4x + 5)

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