If two numbers are − 3 and − 5 , with sum − 8 and product + 15, then which is the correct algebraic expression? - IQ786

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If two numbers are − 3 and − 5 , with sum − 8 and product + 15, then which is the correct algebraic expression?

If two numbers are − 3 and − 5 , with sum − 8 and product + 15, then which is the correct algebraic expression?

x ^2 −8x+15

x ^2 +8x+15

x ^2 +3x−5

𝑥^2 − 3 𝑥 − 5

Explanation

Sum of two numbers: $-3 + (-5) = -8$
Product: $(-3) times (-5) = +15$

Let’s now write an algebraic expression where the sum is $-8$ and the product is $+15$ .

This is a quadratic expression of the form:

$x^2 + 8x + 15$