00:01
In this problem, we're being asked to multiply the two given polynomials.
00:04
So what we're going to do first is take the first term in the trinomial, which is 4x squared, and we need to multiply that by our binomial, 3x plus 1.
00:15
Next, we're going to take the second term in the trinomial, which is negative 2x, and multiply it by our binomial 3x plus 1.
00:23
Then we'll take the last term in the trinomial, which is positive 5, and it will also need to be multiplied by the binomial 3x plus 1.
00:32
Okay, now we just need to use the distributed property.
00:36
So let's go ahead.
00:37
First, we'll multiply 4x squared by 3x, which is 12x to the third.
00:42
Then we'll multiply 4x squared times 1, which is positive 4x squared.
00:47
Next, we distribute negative 2x.
00:49
So negative 2x times 3x is negative 6x squared.
00:53
Then we have negative 2x times 1, which is just negative 2x...