Question

Can someone help me understand multiplying Polynomials.
I am taking a course and I have to rush through it. I made a 100 on the quiz and I guessed on two. I just kind of guessed. I already took it, but can someone explain to me how to find it? Thanks!

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Answer 1

@ganeshie8

Answer 2

So the first step to multiplying polynomials is kind of like treating the polynomial as though it's 1 number, not an expression one two or more numbers.

In a regular multiplication problem, what is done to multiply the numbers? (what sign?)

Answer 3

* or x

Answer 4

Yes! :)
When multiplying polynomials, you are multiplying as though it's a regular number.



With this, we are trying to figure out the area of the rectangle. To find the area of a rectangle, we must multiply the length times the width :)

So (5x + 2) multiplied by (x - 4)

The parentheses signify us treating the polynomial as if it were a monomial.

Do you understand so far? >.<

Answer 5

Okay so you can use an easy to use approach for multiplying polynomials
The general method is
(ax+b)(cx+d)= ax(cx+d)+b(cx+d)

Let's say you have
=(5x+4)(3x+2)
=5x(3x+2)+4(3x+2)
=15x²+10x+12x+8
=15x²+22x+8

Answer 6

So as 2 equations almost? Monomial means 1.

Answer 7

Thanks Faiq, I needed the (ax+b)(cx+d)= ax(cx+d)+b(cx+d), Jade you can keep going :P

Answer 8

Kay >.<
When I say treating it as a monomial, basically, I mean that the parentheses are showing that it's kind of similar to multiplying one number to another singular number (a monomial)

Answer 9

kk

Answer 10

So, you know how in PEMDAS, we say parentheses first?

Answer 11

Yes

Answer 12

Find the product of (x + 7)(x − 7).

x2 − 14x + 49
x2 − 49
x2 + 14x + 49
x2 + 49

How would I do that?

Answer 13

Could I cancel the 7s? or no, just the same as the rest..?

Answer 14

Oh, okay, basically, distribute the numbers to one another


1. Distribute the numbers (or as I like to call it, "rainbow it in")

2. Combine like terms/simplify