Question

Multiply and simplify. (3x+5)(2x2−3x+2) Enter your answer, in standard form, in the box.

Answer 1

Answer:

$6x^3+x^2-9x+10$

Step-by-step explanation:

We have the product, $(3x+5)(2x^{2}-3x+2)$.

On simplifying the product, we get,

$(3x+5)(2x^{2}-3x+2)$

i.e. $6x^3-9x^2+6x+10x^2-15x+10$

i.e. $6x^3+x^2-9x+10$

Thus, the standard form of the product $(3x+5)(2x^{2}-3x+2)$ is $6x^3+x^2-9x+10$.

Answer 2

Answer:

6x³+x²-9x+10

Step-by-step explanation:

We have given a binomial and a trinomial .We have to find product of binomial and a triomial.

(3x+5)(2x²-3x+2)

Multiplying each term of binomial to trinomial,we get

3x(2x²-3x+2)+5(2x²-3x+2)

Multiplying each term of binomial to each term of trinomial,we get

3x(2x²)-3x(3x)+3x(2)+5(2x²)+5(-3x)+5(2)

6x³-9x²+6x+10x²-15x+10

Gather like terms

6x³-9x²+10x²+6x-15x+10

Adding the coffiecients of like terms

6x³+x²-9x+10 which is the answer.