0. Fundamental Concepts of Algebra

Factoring Polynomials

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Multiple Choice

Factor out the Greatest Common Factor in the polynomial.
$-3x^4+12x^3-18x^2$

$3x\left(-x^2+4x-6\right)$

$3x^2\left(-x^2+4x-6\right)$

$3\left(-x^3+4x^2-6x\right)$

$3x^2\left(-3x^4+12x^3-18x^2\right)$

Verified step by step guidance

Identify the terms in the polynomial: -3x^4, 12x^3, and -18x^2.

Determine the greatest common factor (GCF) of the coefficients: -3, 12, and -18. The GCF is 3.

Identify the smallest power of x present in all terms, which is x^2.

Factor out the GCF, 3x^2, from each term in the polynomial.

Rewrite the polynomial as 3x^2(-x^2 + 4x - 6) by dividing each term by 3x^2.

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Expert video explanations

Factor out the Greatest Common Factor in the polynomial.−3x4+12x3−18x2-3x^4+12x^3-18x^2−3x4+12x3−18x2