Question

1. Solve the following equation algebraically, ( x^{3}+x^{2}-14 x-10=14 ). Expectations Your solution needs to have these steps to receive full marks Solving using synthetic or polynomial long division Solving each factor individually e.g. [ egin{array}{l} (7 x+1)(x-6)=0 \ 7 x+1=0 \ x-6=0 \ x=-frac{1}{7}, 6 end{array} ]

          1. Solve the following equation algebraically, ( x^{3}+x^{2}-14 x-10=14 ).

Expectations
Your solution needs to have these steps to receive full marks
Solving using synthetic or polynomial long division
Solving each factor individually e.g.
[
egin{array}{l}
(7 x+1)(x-6)=0 \
7 x+1=0 \
x-6=0 \
x=-frac{1}{7}, 6
end{array}
]

$1. Solve the following equation algebraically, ( x^3+x^2-14 x-10=14 ). Expectations Your solution needs to have these steps to receive full marks Solving using synthetic or polynomial long division Solving each factor individually e.g. [ eginarrayl (7 x+1)(x-6)=0 7 x+1=0 x-6=0 x=-frac17, 6 endarray ]$

Added by Khalid K.

College Algebra

Robert Blitzer 7th Edition

Chapter 1

Instant Answer

Solved by Expert Gaurav Kalra

03/15/2024

Step 1

Given equation: $x^{3}+x^{2}-14x-10=14$. First, subtract 14 from both sides to set the equation to zero: $x^{3}+x^{2}-14x-10-14=0$. This simplifies to: $x^{3}+x^{2}-14x-24=0$. Step 2: Look for rational roots using the Rational Root Theorem. The Rational Show more…

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