Expand the expression to a polynomial in standard form:
(x + 5)(2x2 + x +3)
Options
A
2x3 + 11x2 + 8x + 10
B
2x3 + 11x2 + 7x + 15
C
2x3 + 10x2 + 8x + 15
D
2x3 + 11x2 + 8x + 15
Answer & Analysis
Answer
D
Analysis
To expand the expression (x + 5)(2x2 + x +3), we can use the distributive property and multiply each term of the first expression by each term of the second expression:
(x + 5)(2x2 + x +3) = x * (2x2 + x +3) + 5 * (2x2 + x +3)
Expanding further:
= 2x3 + x2 + 3x + 10x2 + 5x + 15
Combining like terms:
= 2x3 + (x
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