Rewrite the polynomial in the form a, x, squared, plus, b, x, plus, cax

Question

2
+bx+c and then identify the values of a, commaa, b, commab, and cc.
x, squared, plus, 10, plus, start fraction, x, divided by, 7, end fraction
x
2
+10+
7
x
​

Answer
Attempt 1 out of 2
The number of attempts on this specific problem before you are marked incorrect

a, equalsa=
b, equalsb=
c, equalsc=

Answer 1

To rewrite the polynomial \( x^2 + 10 + \frac{x}{7} \) in the standard form \( ax^2 + bx + c \), we first combine the terms properly.

We can start by rewriting \( \frac{x}{7} \) so that we have all terms in the standard form:

1. Write \( x^2 + \frac{x}{7} + 10 \).

2. To combine the linear terms, we need a common denominator. The common denominator for the \( x \) term will be 7:

   \[ x^2 + \frac{1}{7}x + 10 \]

Now, we can express this polynomial in the standard form \( ax^2 + bx + c \):

\[ x^2 + \frac{1}{7}x + 10 \]

From this polynomial, we can identify the coefficients:

• \( a = 1 \) (the coefficient of \( x^2 \))
• \( b = \frac{1}{7} \) (the coefficient of \( x \))
• \( c = 10 \) (the constant term)

So, the values are:

• \( a = 1 \)
• \( b = \frac{1}{7} \)
• \( c = 10 \)

Answer:

• \( a = 1 \)
• \( b = \frac{1}{7} \)
• \( c = 10 \)