sorry but on the last question i posted the wrong equation...
(3x^2-8x+1)(-2x^2+x-2)
I have heard of the FOIL process but i still tend to do the problems wrong...
You distribute.
What you do is, multiple the first number from the first bracket with the first number from the second bracket, then the second number from the second bracket and the third number from the second bracket. You then multiple the second number from the first bracket with the first number from the second bracket, then the second number from the second bracket and the third number from the second bracket. You do the same for the third number in the first bracket.
After you distribute, you should get:
(-6x^4 + 3x^3 - 6x^2 + 16x^3 - 8x^2 + 16x - 2x^2 + x - 2)
Then, you find common factors and add or subtract them, for example:
x^2 + 3x^2 + 4x + 6
= 4x^2 + 4x + 6
Remember when you multiple with exponents, you must add them and if you divide with exponents, you divide them.
THANK YOU!!!!!!!!!!!
:D
Need to make correction on what I wrote previously...
Remember when you multiple with exponents, you must add them and if you divide with exponents, you *subtract* them.
What is the general form of the equation of the line shown?
No problem! I can help you with the equation (3x^2-8x+1)(-2x^2+x-2) and explain the FOIL process so that you can solve it correctly.
The FOIL process is a mnemonic that stands for "First, Outer, Inner, Last." It helps you multiply two binomials together.
Let's go through the steps of the FOIL process for the equation (3x^2-8x+1)(-2x^2+x-2):
Step 1: Multiply the first terms of both binomials.
First term of the first binomial: 3x^2
First term of the second binomial: -2x^2
Result: 3x^2 * -2x^2 = -6x^4
Step 2: Multiply the outer terms.
Outer term of the first binomial: 3x^2
Outer term of the second binomial: x
Result: 3x^2 * x = 3x^3
Step 3: Multiply the inner terms.
Inner term of the first binomial: -8x
Inner term of the second binomial: -2x^2
Result: -8x * -2x^2 = 16x^3
Step 4: Multiply the last terms of both binomials.
Last term of the first binomial: -8x
Last term of the second binomial: x
Result: -8x * x = -8x^2
Step 5: Combine all the results obtained from the previous steps.
(-6x^4) + (3x^3) + (16x^3) + (-8x^2)
Step 6: Simplify the terms by combining like terms.
-6x^4 + 3x^3 + 16x^3 - 8x^2
= -6x^4 + (3x^3 + 16x^3) - 8x^2
= -6x^4 + 19x^3 - 8x^2
So, the product of (3x^2-8x+1)(-2x^2+x-2) using the FOIL process is -6x^4 + 19x^3 - 8x^2.
By following the FOIL process step-by-step, you can closely and accurately find the product of any two binomials.