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Answer :
To solve the question about the polynomial [tex]\( k(x) = 45x^5 - 114x^4 + 26x^3 + 44x^2 + x - 2 \)[/tex], let's break it down step-by-step:
1. Finding the Degree of the Polynomial:
The degree of a polynomial is determined by the highest power of [tex]\( x \)[/tex] in the polynomial. Looking at the expression [tex]\( k(x) = 45x^5 - 114x^4 + 26x^3 + 44x^2 + x - 2 \)[/tex], the term with the highest exponent is [tex]\( 45x^5 \)[/tex].
Therefore, the degree of the polynomial [tex]\( k(x) \)[/tex] is 5.
2. Identifying the Leading Coefficient:
The leading coefficient is the coefficient of the term with the highest power of [tex]\( x \)[/tex]. In this case, the term [tex]\( 45x^5 \)[/tex] has the highest power, and its coefficient is 45.
Thus, the degree of [tex]\( k(x) \)[/tex] is 5, and the leading coefficient is 45.
1. Finding the Degree of the Polynomial:
The degree of a polynomial is determined by the highest power of [tex]\( x \)[/tex] in the polynomial. Looking at the expression [tex]\( k(x) = 45x^5 - 114x^4 + 26x^3 + 44x^2 + x - 2 \)[/tex], the term with the highest exponent is [tex]\( 45x^5 \)[/tex].
Therefore, the degree of the polynomial [tex]\( k(x) \)[/tex] is 5.
2. Identifying the Leading Coefficient:
The leading coefficient is the coefficient of the term with the highest power of [tex]\( x \)[/tex]. In this case, the term [tex]\( 45x^5 \)[/tex] has the highest power, and its coefficient is 45.
Thus, the degree of [tex]\( k(x) \)[/tex] is 5, and the leading coefficient is 45.
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