Which equation results from adding the equations in this system? x + 6 y = 9. Negative x + 2 y = negative 15. 8 y = negative 6 8
2 answers:
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Answer:
Step-by-step explanation:
Given that polynomial:
Known factor:
To find:
Equation of the polynomial as the product of linear factors.
Solution:
The degree of polynomial is 3, and when we divide it by a linear equation, the result will be a quadratic. That quadratic will have 2 solutions.
We can solve the quadratic in two linear factors and as a result we will have the answer.
First of all, we need to divide the polynomial with the given factor
to find the other factors.
Solving the quadratic:
So, the answer is:
The <u>correct answer </u>is:
x²+2x+3.
Explanation:
We need to divide each term of the numerator by the denominator. For the <u>first term</u>:
Dividing the coefficients, we have 5/5 = 1.
When dividing the variables, we use the quotient rule: when dividing powers that have the same base, subtract the exponents. This gives us:
x³/x = x³/x¹ = x³⁻¹ = x²
For the first monomial, this gives us 1x² = x².
The <u>second term</u>:
Dividing the coefficients, we have 10/5 = 2.
Dividing the variables, we again use the product rule:
x²/x = x²/x¹ = x²⁻¹ = x¹ = x
Together this gives us 2x.
The <u>third term</u>:
Dividing the coefficients, we have
15/5 = 3.
Dividing the variables, we have x/x; when you divide something by itself, the answer is 1. This gives us:
3*1 = 3.
Together our quotient is x²+2x+3.
x²+2x+3.
Explanation:
We need to divide each term of the numerator by the denominator. For the <u>first term</u>:
Dividing the coefficients, we have 5/5 = 1.
When dividing the variables, we use the quotient rule: when dividing powers that have the same base, subtract the exponents. This gives us:
x³/x = x³/x¹ = x³⁻¹ = x²
For the first monomial, this gives us 1x² = x².
The <u>second term</u>:
Dividing the coefficients, we have 10/5 = 2.
Dividing the variables, we again use the product rule:
x²/x = x²/x¹ = x²⁻¹ = x¹ = x
Together this gives us 2x.
The <u>third term</u>:
Dividing the coefficients, we have
15/5 = 3.
Dividing the variables, we have x/x; when you divide something by itself, the answer is 1. This gives us:
3*1 = 3.
Together our quotient is x²+2x+3.