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Answer :
Final Answer:
The coefficient of [tex]\(x^2\)[/tex] in the polynomial [tex]\(4x^2 - 24x + 35\)[/tex] is 4. This means that the term [tex]\(4x^2\)[/tex] contributes a value of 4 times [tex]\(x^2\)[/tex] to the polynomial.
Explanation:
To find the coefficient of [tex]\(x^2\)[/tex] in the polynomial [tex]\(4x^2 - 24x + 35\)[/tex], simply look at the term with [tex]\(x^2\).[/tex]
In this polynomial, the term with [tex]\(x^2\) is \(4x^2\).[/tex] The coefficient of [tex]\(x^2\)[/tex] is the number in front of it, which is 4.
Certainly! Let's break down the polynomial [tex]\(4x^2 - 24x + 35\)[/tex] and explain how to find the coefficient of [tex]\(x^2\).[/tex]
The given polynomial is:
[tex]\(4x^2 - 24x + 35\)[/tex]
Now, each term in the polynomial has a coefficient and an exponent. The coefficient is the number that multiplies the variable with its corresponding exponent. In this case:
1. The first term is [tex]\(4x^2\).[/tex] Here, the coefficient is 4, and the exponent of [tex]\(x\)[/tex]is 2.
2. The second term is [tex]\(-24x\).[/tex] Here, the coefficient is -24, and the exponent of [tex]\(x\)[/tex] is 1 (since [tex]\(x\)[/tex] is raised to the power of 1).
3. The third term is 35. Here, there is no [tex]\(x\)[/tex] term, so the coefficient is simply 35.
To find the coefficient of [tex]\(x^2\)[/tex], you focus on the first term, which is [tex]\(4x^2\).[/tex] The coefficient of [tex]\(x^2\)[/tex] in this term is 4.
So, the coefficient of [tex]\(x^2\)[/tex] in the polynomial [tex]\(4x^2 - 24x + 35\)[/tex] is 4. This means that the term [tex]\(4x^2\)[/tex] contributes a value of 4 times [tex]\(x^2\)[/tex] to the polynomial.
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