#### Answer

Fill the blanks in with :
$(5x-2)$ ... $2x^{2}$ ... $10x^{3}-4x^{2}$ ... $10x^{3}+6x^{2}$

#### Work Step by Step

Long Division of Polynomials:
1. Arrange the terms of both the dividend and the divisor in descending powers
of any variable.
2. Divide the first term in the dividend by the first term in the divisor. The
result is the first term of the quotient.
3. Multiply every term in the divisor by the first term in the quotient. Write the
resulting product beneath the dividend with like terms lined up.
...
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Steps 1 and 2 have been completed.
Now on to step 3:
We multiply $(5x-2)$ with $2x^{2}$
We obtain $10x^{3}-4x^{2}$
We write this below $10x^{3}+6x^{2}$ , like term under like term.