102k views
2 votes
Your answer should be a polynomial in standard form.

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

Your answer should be a polynomial in standard form. ( c + 8 ) ( 8 c + 2 ) = (c+8)(8c-example-1

2 Answers

5 votes

Answer:

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.

User Isobar
by
7.7k points
4 votes

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!

User Karan Singh Dhir
by
7.6k points

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