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valentinak56 [21]
2 years ago
5

1

Mathematics
1 answer:
aleksley [76]2 years ago
3 0
Answer: 3.71 miles (approximately)

Explanation: 1/7 • 26 miles = 3.71428571429
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Answer:

(x-1)(2x^2+x+2)

Step-by-step explanation:

Factorize:

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<u>Factor Theorem</u>

If f(a) = 0 for a polynomial then (x - a) is a factor of the polynomial f(x).

Substitute x = 1 into the function:

\implies f(1)=2(1)^3-1^2+1-2=0

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As the polynomial is cubic:

\implies  f(x)=(x-1)(ax^2+bx+c)

Expanding the brackets:

\implies  f(x)=ax^3+bx^2+cx-ax^2-bx-c

\implies  f(x)=ax^3+(b-a)x^2+(c-b)x-c

Comparing coefficients with the original polynomial:

\implies ax^3=2x^3 \implies a=2

\implies (b-a)x^2=-x^2 \implies b-2=-1 \implies b=1

\implies -c=-2 \implies c=2

Therefore:

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Cannot be factored any further.

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