Question

When the factors of a trinomial are (x- p) and (x + q) then the constant term

Answer 1

Answer:

DATA:

Find and factor the trinomial that is of the form x²ⁿ + (p + q) xⁿ + pq.

 a) x⁴ + 8x² - 20 =

 b) x² + 7x + 3

 SOLUTION:

To solve the exercise, we proceed to find and factor each trinomial that is of the form x²ⁿ + (p + q) xⁿ + pq as follows:

 a) x⁴ + 8x² - 20 = (x² + 10) * (x² - 2) if it is a trinomial of the form:

       x²ⁿ + (p + q) xⁿ + pq, because if two numbers are found that add up to +8 and multiply to -20.

        p + q = 10 + (-2) = 10-2 = +8

       pq = 10 * (- 2) = -20

 b) x² + 7x + 3 = is not a trinomial of the form x²ⁿ + (p + q) xⁿ + pq, because there are no two numbers p and q which when added (p + q) give +7 and which in turn multiply p * q den +3

SALUDOS