Which binomial is a factor of x 2 +2x−15?

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CramX · Accepted Answer

Step 1: I'll solve this step by step using the guidelines you specified:. Step 2: : To find which binomial is a factor, we'll use the factor theorem.. This means we'll test potential factors by checking which values of x make the polynomial equal to zero. Step 3: : The potential factors of the constant term (-15) are: ±1, ±3, ±5, ±15. Step 4: : We'll systematically test these potential factors by substituting them into the polynomial $x^{2} + 2x - 15$. Step 5: : Let's check x = 3:. Step 6: : Since $3^{2} + 2(3) - 15 = 0$, (x - 3) is a factor of the polynomial.. Step 7: : We can verify by polynomial long division or by factoring:. Final Answer: The binomial (x - 3) is a factor of $x^{2} + 2x - 15$.

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Step 1:
I'll solve this step by step using the guidelines you specified:

Step 2:
: To find which binomial is a factor, we'll use the factor theorem.

Step 3:
: The potential factors of the constant term (- 15) are: ±1, ±3, ±5, ±15

Final Answer

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