Question

A quadratic trinomial of the form x2 + bx + c can be factored as (x + p)(x + q). Select the two true statements about p and q. A. p – q = b B. p + q = b C. p + q = c D. p • q = c

Answer 1

Answer:

B and D is the correct answer

Step-by-step explanation:

Answer 2

The correct expressions should be $p+q=b$ and $pq=c$. Options B and D are correct.

Given information:

A quadratic trinomial of the form $x^2 + bx + c$ can be factored as $(x + p)(x + q)$.

Based on the factorization performed, -p and -q will be the roots of the quadratic trinomial.

Now, the sum of the roots will be equal to the negative ratio of coefficient of x and x squared.

It can be written as,

$-p+(-q)=-\dfrac{b}{1}\\p+q=b$

Also, the product of the roots will be equal to the ratio of constant term and coefficient of x squared.

It can be written as,

$(-p)(-q)=\dfrac{c}{1}\\pq=c$

Therefore, the correct expressions should be $p+q=b$ and $pq=c$. Options B and D are correct.

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https://brainly.com/question/18158706