express the product (2x-1)(3x+4) as a trinomial?
How can I express the product of the binomials (2x - 1)(3x + 4) as a trinomial? Additionally, I have the following expressions: 5x² + 9x - 4, 5x - 4, -6x² - 5x - 4, and 6x² + 5x - 4. Could you help clarify which of these, if any, represent the correct trinomial form of the product?
8 Answers
This is a simple FOIL problem
(2x-1)(3x+4) =
6x^2 +8x-3x-4 = 6x^2+5x-4
Choice 3 <-----Answer
Blessings
follow FOIL
multiply the First terms: 2x(3x)=6x^2
multiply the Outside terms: 2x(4)=8x
multiply the Inside terms: -1(3x)=-3x
multiply the Last terms: -1(4)=-4
6x^2+8x-3x-4
6x^2-5x-4
3.
(2x-1)(3x+4)
Multiply each term in the first group by each term in the second group using the FOIL method. FOIL stands for First Outer Inner Last, and is a method of multiplying two binomials. First, multiply the first two terms in each binomial group. Next, multiply the outer terms in each group, followed by the inner terms. Finally, multiply the last two terms in each group.
(2x*3x+2x*4-1*3x-1*4)
Simplify the FOIL expression by multiplying and combining all like terms.
(6x^(2)+5x-4)
Remove the parentheses around the expression 6x^(2)+5x-4.
6x^(2)+5x-4
"4"
the answer would be 4. Its a simple FOIL problem: F.first O.outer I.inner L.last
First: you multiply 2x and 3x and get 6x^2
then
Outer: you multiply 2x and 4 and get 8x
then
Inner: you multiply -1 and 3x and get -3x
then
Last: you multiply -1 and 4 and get -4
Then, since you can only simplify 8x and -3x to get 5x
the answer would be: 6x^2+5x-4
(2x - 1)(3x + 4) =
6x^2 + 8x - 3x - 4 =
6x^2 + 5x - 4.
answer 4. 6x^2 + 5x - 4 is correct.
Use FOIL.
(2x*3x)+(2x*4)+(-1*3x)+(-1*4)
=6x^2+8x-3x-4
=6x^2+5x-4
(3) is the correct answer.
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