I will give you 50 points give me my questions answer and don't comments like I don't know the answer try it from Google etc.
x^2 - 3x -54
a^2- 7a + 12
p^2 - 3pq + 2q^2
Answers
Answer:
Trying to factor by splitting the middle term
1.1 Factoring x2-2x-24
The first term is, x2 its coefficient is 1 .
The middle term is, -2x its coefficient is -2 .
The last term, "the constant", is -24
Step-1 : Multiply the coefficient of the first term by the constant 1 • -24 = -24
Step-2 : Find two factors of -24 whose sum equals the coefficient of the middle term, which is -2 .
-24 + 1 = -23
-12 + 2 = -10
-8 + 3 = -5
-6 + 4 = -2 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 4
x2 - 6x + 4x - 24
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-6)
Add up the last 2 terms, pulling out common factors :
4 • (x-6)
Step-5 : Add up the four terms of step 4 :
(x+4) • (x-6)
Which is the desired factorization
Equation at the end of step 1 :
(x + 4) • (x - 6) = 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 : x+4 = 0
Subtract 4 from both sides of the equation :
x = -4
Solving a Single Variable Equation :
2.3 Solve : x-6 = 0
Add 6 to both sides of the equation :
x = 6
2. a2-7a+12=0
Two solutions were found :
a = 4
a = 3
3. SORRY BUT I DONT KNOW THE ANSWER OF THIS ONE...
Answer:
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