Question

Your answer should be a polynomial in standard form.

(
c
+
8
)
(
8
c
+
2
)
=
(c+8)(8c+2)

Answer 1

lemm e know if you need more help

Explanation:

Expanding the expression (C+8)(8C+2), we get:

(C+8)(8C+2) = 8C^2 + 2C + 64C + 16

= 8C^2 + 66C + 16

Therefore, (C+8)(8C+2) simplifies to 8C^2 + 66C + 16.

Answer 2

Given:-

• A algebraic expression (c+8)(8c+2)

To find:-

• To write it in standard form of a polynomial.

Answer:-

We need to write (c+8)(8c+2) as a polynomial in standard form. As we know that the standard form of a polynomial is ,

`\implies p(x)= a_n x_n + a_(n-1)x^(n-1) + a_(n-2) x^(n-2) \dots \\`

where ,

• 
  `a_n , a_(n-1) , a_(n-2)\dots` are constants.

So we can expand the given expression as ,

`\implies (c+8)(8c+2)\\`

`\implies c(8c+2) + 8(8c+2) \\`

`\implies 8c^2 + 2c + 64c+ 16 \\`

`\implies \underline{\underline{8c^2+66c + 16}}\\`

This is the polynomial in standard form.

and we are done!