example
Multiply using the Distributive Property:
(x+3)(2x2−5x+8).
Solution
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Distribute. |
x(2x2−5x+8)+3(2x2−5x+8) |
Multiply. |
2x3−5x2+8x+6x2−15x+24 |
Combine like terms. |
2x3+x2−7x+24 |
example
Multiply using the Vertical Method:
(x+3)(2x2−5x+8).
Answer:
Solution
It is easier to put the polynomial with fewer terms on the bottom because we get fewer partial products this way.
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Multiply (2x2−5x+8) by 3. |
6x2−15x+24 |
Multiply (2x2−5x+8) by x . |
2x3−5x2+8x |
Add like terms. |
2x3+x2−7x+24 |