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Multiplying Polynomials by Polynomials

Examples, practice problems and steps!

Example 1
Let's multiply the polynomial (3x6+2x5+5) by the polynomial (5x+2)
Step 1) distribute
multiply polynomial by polynomial
Step 2) Add the resulting Polynomials
(15x7 + 10x6 + 25x) + (6x6 + 4x5 + 10) = 15x7 + 16x6 + 4x5+ 25x +10


Example 2
Let's multiply the polynomial (3x6+2x5+5) by the polynomial (4x2 + x + 5)
Step 1) distribute
multiply polynomial by polynomial 2
Step 2) Add the resulting Polynomials
(12x8 + 8x7 + 20x2) + (3x7 + 2x6 + 5x) + (15x6 + 10x5 +25)
Answer = 12x8 + 11x7 + 17x6+ 10x5 + 20x2+ 5x+ 25
Practice Problems


Problem 1)

Multiply the polynomial (3x+4) by the polynomial (5x4 +7x3 + 5x)

Step 1


Problem 2)

Multiply (2x7 +4x2 +3x)(3x8+ 2x3 + 15x)
Step 1