Use long division to find the quotient and remainder. Write it in the form dividend = (divisor) (quotient) + remainder).

Question

(6x⁴+x³−9x+13)÷(x²+8)

(please help me I can't remember what to do if you are missing the x²)

Answer 1

" please help me I can't remember what to do if you are missing the x² "

Since your request is to understand what to do to get started, this solution is intended to do just that, get you started.

Even though you cannot see every term, they actually are there.

The reason you cannot see the missing terms is because their coefficients are zero, and zero times anything is zero.

Likewise, the reason you do not see the x on the last term is because its exponent is 0, and anything to the zero power is one, and one times coefficient equals coefficient.

So if you put on the "see the missing stuff" glasses, the problem actually looks like this:

STEP 1:

rewrite

_{________________________________}

x² + 0x¹ + 8x⁰ √( 6x⁴ + x³ + 0x² - 9x¹ + 13x⁰ )

see the pattern?

STEP 2

6x²

x² + 0x¹ + 8x⁰ √( 6x⁴ + x³ + 0x² - 9x¹ + 13x⁰ )

- ( 6x⁴ + 0x³ + 48x²) ↓

+ x³ + 48x² - 9x¹

STEP 3:

Continue

Answer 2

Put 0x² in ghe dividend.