Questions: What is the leading coefficient? 4 x^3-9 x^2+8 x^4+10

Transcript text: What is the leading coefficient? \[ 4 x^{3}-9 x^{2}+8 x^{4}+10 \]

Solution

Step 1: Arrange the polynomial in descending order of exponents

Rewrite the polynomial \( 4x^{3} - 9x^{2} + 8x^{4} + 10 \) in descending order of the exponents of \( x \): \[ 8x^{4} + 4x^{3} - 9x^{2} + 10 \]

Step 2: Identify the term with the highest exponent

The term with the highest exponent is \( 8x^{4} \).

Step 3: Determine the leading coefficient

The leading coefficient is the numerical coefficient of the term with the highest exponent. For \( 8x^{4} \), the leading coefficient is \( 8 \).

\(\boxed{8}\)

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