Question

1. express (5x - 3)(-2x + 7) as a trinomial in standard form.

1. express the product of 2x² + 7x - 10 and x + 5 in standard form.

Explanation:

Question 19

Step1: Apply the distributive property (FOIL method)

Multiply each term in the first binomial by each term in the second binomial:

$$
LATEXBLOCK0
$$

Step2: Combine like terms

Combine the \(x\)-terms:

$$ -10x^2 + (35x + 6x) - 21 = -10x^2 + 41x - 21 $$

Step1: Apply the distributive property (multiply each term in the trinomial by each term in the binomial)

$$
LATEXBLOCK0
$$

Step2: Combine like terms

Combine the \(x^2\)-terms and the \(x\)-terms:

$$
LATEXBLOCK1
$$

Answer:

\(-10x^2 + 41x - 21\)

Question 20