Use the table to identify the values of p and that should be used to factor x2
- 3x - 10 as (x + p)(x + q).
HELP PLZ
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The values of p and q are -2 and 5 respectively. The correct option is Option B.
A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.
Here, the given quadratic equation;
x² - 3x - 10
and factors are; (x + p)(x + q)
So, p and q are the roots of this equation.
We know that, Sum of roots = -b/a
p + q = -(-3)/1
p + q = 3
Now, observing from given table we get;
p = -2 and q = 5
Thus, the values of p and q are -2 and 5 respectively. The correct option is Option B.
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