Roots of the quadratic
equation m2 + 2m -3 is equal to 'o' are
A)-3,1
B. 3,-1
C.3,-1 D.3,-2
Answers
Answer:
Step-by-step explanation:
Factoring m2-2m-3
The first term is, m2 its coefficient is 1 .
The middle term is, -2m its coefficient is -2 .
The last term, "the constant", is -3
Step-1 : Multiply the coefficient of the first term by the constant 1 • -3 = -3
Step-2 : Find two factors of -3 whose sum equals the coefficient of the middle term, which is -2 .
-3 + 1 = -2 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -3 and 1
m2 - 3m + 1m - 3
Step-4 : Add up the first 2 terms, pulling out like factors :
m • (m-3)
Add up the last 2 terms, pulling out common factors :
1 • (m-3)
Step-5 : Add up the four terms of step 4 :
(m+1) • (m-3)
Which is the desired factorization
Equation at the end of step
1
:
(m + 1) • (m - 3) = 0
STEP
2
:
Theory - Roots of a product
2.1 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
Solving a Single Variable Equation:
2.2 Solve : m+1 = 0
Subtract 1 from both sides of the equation :
m = -1
Solving a Single Variable Equation:
2.3 Solve : m-3 = 0
Answer:
option A) -3,1
Step-by-step explanation:
m^2 +2m -3
m^2 +3m -m-3
m(m+3)-1(m+3)
(m+3 )(m-1)
m+3=0 m-1=0
m= -3 m= 1