What is the factor of this polynomial: x^2-7x+6
1 answer:
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Answer:
x = 3.24, x = -1.24
Step-by-step explanation:
The standard form for a quadratic equation is . For your equation a = 1, b = -2, c = -4. The quadratic formula you will be using is
.
Plug in a = 1, b = -2, and c = -4 into the formula.
We'll do the top part first:
Apply rule
Apply exponent rule if
is even
Multiply the numbers
Add
The prime factorization of 20 is
20 divides by 2. <em>20 = 10 * 2</em>
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10 divides by 2. <em>10 = 5 * 2</em>
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2 & 5 are prime numbers so you don't need to factor them anymore
Apply radical rule
Apply radical rule ;
Because of the you have to separate the solutions so that one is positive and the other is negative.
Positive x:
Apply rule
Multiply
Factor and rewrite it as
. Factor out 2 because it is the common term.
.
Divide 2 by 2
or
(You'll probably have to use a calculator for the square root of 5)
^Repeating the process of positive x for negative x in order to get or