C-03-Q156mediumsingle_mcq

Factorize $4x^4 + 12x^3 + 7x^2 - 3x - 2$ :

a $(x+1)(x+2)(2x-1)(2x+1)$
b $(x-1)(x-2)(2x+1)(2x-1)$
c $(x+1)(x+2)(4x^2 - 1)$
d $(x+1)^2 (2x-1)(2x+1)$

ব্যাখ্যা

The quartic factors into four linear terms with roots $x=-1, -2, \tfrac12, -\tfrac12$ . These correspond to $(x+1)(x+2)(2x-1)(2x+1)$ , and multiplying back reproduces the original expression.

এই অধ্যায়ের আরও প্রশ্ন

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Algebraic Expressions — সব প্রশ্ন দেখুন (219টি) →

Factorize $4x^4 + 12x^3 + 7x^2 - 3x - 2$ :

(x+1)(x+2)(2x-1)(2x+1)

(x-1)(x-2)(2x+1)(2x-1)

(x+1)(x+2)(4x^2 - 1)

(x+1)^2 (2x-1)(2x+1)

ব্যাখ্যা

The quartic factors into four linear terms with roots $x=-1, -2, \tfrac12, -\tfrac12$ . These correspond to $(x+1)(x+2)(2x-1)(2x+1)$ , and multiplying back reproduces the original expression.

Factorize 4x4+12x3+7x2−3x−24x^4 + 12x^3 + 7x^2 - 3x - 24x4+12x3+7x2−3x−2:

ব্যাখ্যা

এই অধ্যায়ের আরও প্রশ্ন

Factorize 4x4+12x3+7x2−3x−24x^4 + 12x^3 + 7x^2 - 3x - 24x4+12x3+7x2−3x−2:

ব্যাখ্যা

এই অধ্যায়ের আরও প্রশ্ন

Factorize $4x^4 + 12x^3 + 7x^2 - 3x - 2$ :

Factorize $4x^4 + 12x^3 + 7x^2 - 3x - 2$ :