1 use the distributive property to multiply 2x times each term in the trinomial. 10x³ - 4x² + 14x (result…

1 use the distributive property to multiply 2x times each term in the trinomial. 10x³ - 4x² + 14x (result for this step only) 2 use the distributive property to multiply -3 times each term in the trinomial. 10x³ - 4x² + 14x - 15x² - 6x - 21 (result for step 1 and 2) 3 use the addition property to combine the x² terms. 10x³ - 19x² + 14x - 6x - 21 4 use the addition property to combine the x terms. 10x³ - 19x² + 8x - 21 in which step did fiona make an error? step 1 step 2 step 3 step 4

1 use the distributive property to multiply 2x times each term in the trinomial. 10x³ - 4x² + 14x (result for this step only) 2 use the distributive property to multiply -3 times each term in the trinomial. 10x³ - 4x² + 14x - 15x² - 6x - 21 (result for step 1 and 2) 3 use the addition property to combine the x² terms. 10x³ - 19x² + 14x - 6x - 21 4 use the addition property to combine the x terms. 10x³ - 19x² + 8x - 21 in which step did fiona make an error? step 1 step 2 step 3 step 4

Answer

Explanation:

Step1: Analyze Step 1

Using the distributive property (2x(5x^{2}-2x + 7)=2x\times5x^{2}-2x\times2x+2x\times7 = 10x^{3}-4x^{2}+14x). This step is correct.

Step2: Analyze Step 2

Using the distributive property (-3(5x^{2}-2x + 7)=-3\times5x^{2}-3\times(-2x)-3\times7=-15x^{2}+6x - 21). But the given result in step 2 is (10x^{3}-4x^{2}+14x-15x^{2}-6x - 21). The (x) - term from multiplying (-3) with (-2x) should be (+6x) not (-6x).

Answer:

Step 2