Question

5.4 introduction to polynomia
(1 point)
evaluate each algebraic expression for the given value(s):
a) ( x^{2}-6 x ), for ( x = 8 )
answer:

b) ( x^{2}-x + 8 ), for ( x = 4 )
answer:

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Explanation:

Step1: Substitute \(x = 8\) into \(x^{2}-6x\)

Substitute \(x\) with \(8\) in the expression \(x^{2}-6x\). We get \(8^{2}-6\times8\).
First, calculate \(8^{2}=64\) and \(6\times8 = 48\). Then \(8^{2}-6\times8=64 - 48\).

Step2: Calculate the result of \(64-48\)

\(64-48 = 16\)

Step3: Substitute \(x = 4\) into \(x^{2}-x + 8\)

Substitute \(x\) with \(4\) in the expression \(x^{2}-x + 8\). We get \(4^{2}-4+8\).
Calculate \(4^{2}=16\). Then the expression becomes \(16-4 + 8\).

Step4: Calculate \(16-4+8\)

First, \(16-4=12\), then \(12 + 8=20\)

Answer:

a) \(16\)
b) \(20\)