Simplify the polynomial and write it in standard form: -3(x^3 - x… - Vidyadip

MCQ

Simplify the polynomial and write it in standard form:
$-3(x^3 - x^2 - 2x - 5) - (4x^3 - 7x -1)$

✓
$-7x^3 + 3x^2 + 13x + 16$
B
$7x^3 + 2x^2 + 11x + 16$
C
$-6x^3+ 3x^2 + 12x + 14$
D
$-4x^3 + 3x^2 + 11x + 15$

✓

Answer

Correct option: A.

$-7x^3 + 3x^2 + 13x + 16$

Solve the polynomial as follows:$ -3(x^3 - x^2 - 2x - 5) - (4x^3 - 7x - 1)$
$= -3x^3+ 3x^2 + 6x + 15 - 4x^3 + 7x + 1$
$= -7x^3 + 3x^2 + 13x + 16$

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