Question

10x² + 6x - 20
which of the expressions below matches with the one above? (factor out 2, or use desmos testing calculator)
○ 2(5x² + 6x - 10)
○ 5(2x² + x - 6)
○ 2(5x² + 3x - 10)
○ 3(6x² + x - 2)

Explanation:

Step1: Identify GCF of coefficients

The coefficients are 10, 6, -20. Their greatest common factor (GCF) is 2.

Step2: Factor out GCF from each term

Divide each term by 2:
$10x^2 \div 2 = 5x^2$, $6x \div 2 = 3x$, $-20 \div 2 = -10$
Write factored form: $2(5x^2 + 3x - 10)$

Step3: Verify match with options

Compare the result to the given choices.

Answer:

2 $(5x^{2}+3x-10)$