Question

PLEASE HELP ASAP <3 Express as a trinomial (3x+5) (x+1) :)

Answer 1

Answer:

3x²+8x+5

Step-by-step explanation:

Hi there!

We're given the product of two binomials: (3x+5)(x+1) and we want to express as a trinomial (polynomial with 3 terms)

we can multiply using FOIL; firsts, outers, inners, and lasts

Let's start by multiplying the firsts, which are the first terms in the two binomials, which are (3x+5) and (x+1)

So we'll multiply:

3x*x=3x²

Now we'll multiply the outers, which are the terms on the "outside" in the binomials, which are (3x+5) and (x+1)  (remember to include the sign!)

So we'll multiply:

3x*1=3x

then we'll multiply the inners, which are the terms on the "inside" of the binomials, which are (3x+5) and (x+1)

So we'll multiply:

5*x=5x

finally, we'll multiply the lasts, which are the last terms in the binomials, or (3x+5) and (x+1)

So we'll multiply:

5*1=5

now let's add up everything:

3x²+5x+3x+5

we have some like terms that we can combine

3x²+8x+5

Hope this helps!

Answer 2

Answer:

$3x^2+8x+5$

Step-by-step explanation:

$(3x+5)(x+1)$

$3x(x+1)+5(x+1)$        Distribute

$3x(x+1)+5(x+1)$        Distribute $3x(x+1)$

$3x^2+3x+5(x+1)$        

$3x^{2} +3x+5(x+1)$         Distrbute $5(x+1)$

$3x^2+3x+5x+5$            Combine like terms

$3x^{2} +8x+5$