Answer:
1.) 1.)Answer: The Factors of x² - 5x + 6 are (x-3) (x-2)
2.) x = 2 and x = -4
3.) x²-2x-3x+6=0
x(x-2)-3(x-2)=0
(x-2)(x-3)=0
x-2=0 x-3=0
x=2 x=3
are roots.
is the best answer
Step-by-step explanation:
1.)Answer: The Factors of x² - 5x + 6 are (x-3) (x-2)
Let us proceed by using middle term factorization
Explanation:
Step 1: Multiply the coefficient of the first term by the constant term i.e (6 x 1) = 6
Step 2: Find the two factors of 6 such that whose sum equals to the coefficient of the middle term, i.e -5.
Thus, the factors are -3 and -2 as,
-3 × (-2) = 6 (Product)
-3 + (-2) = -5 (Sum)
The polynomial after splitting the middle term by using the two factors, -3 and -2 can be written as
x² - 3x - 2x + 6 = 0
⇒ x(x-3) -2(x-3) = 0
⇒ (x-3)(x-2) = 0
Thus, the Factors of x² - 5x + 6 are (x-3) (x-2).
2.) x^2 + 2x = 8
> x^2 + 2x + 1 = 8 + 1
> (x+1)^2 = 9
> x+1 = +-3
> x = -1+-3
x = 2 ; x = -4
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