SOLUTION: Hi Everyone,
I am supposed to factor the following polynomials completely:
(a) 14x^2-20x+6 & (b) -3s^2-10s+8
Could someone please help me understand what it is I am suppose
Algebra.Com
Question 84093: Hi Everyone,
I am supposed to factor the following polynomials completely:
(a) 14x^2-20x+6 & (b) -3s^2-10s+8
Could someone please help me understand what it is I am supposed to do here? Please, Thank You
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
You're supposed to find the roots of the equations. Since the
largest exponent is 2 (x^2), there are 2 roots in each case.
The roots are values for the unknown that make the equation 0.
Say the roots are r1 and r2, then
(x - r1)(x - r2) = 0
If you then make x = r1,
(r1 - r1)(r1 - r2) = 0 this is true
If you make x = r2, then
(r2 - r1)(r2 - r2) = 0 this is true also
How do you find the roots? Use the so-called quadratic formula
a = 14
b = -20
c = +6
and
or, and
So, your factors are
Do these multiplied together give you the original equation?
Multiplying both sides by 14,
So, 1 and 3/7 are the factors.
The other equation is factored in the same manner
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