Question

When the quadratic equation y = (x − 5)(2x + 3) is written in standard form, what is the value of the coefficient "b"?

7
−7
2
−15

Answer 1

FOIL method is the way to go.

Answer 2

haven't studied foil is about 5 months and im now doing online lol

Answer 3

\[\huge (px + h)(qx +k)\]
time to FOIL
F-FIRST TERMS\[\Large (\color{red}{px} + h)(\color{red}{qx} +k)=\color{red}{pqx^2}+...\]

O-OUTER TERMS\[\Large (\color{orange}{px} + h)(qx +\color{orange}{k})=pqx^2+\color{orange}{pkx}+...\]

I-INNER TERMS \[\Large (px + \color{indigo}h)(\color{indigo}{qx} +k)=pqx^2+pkx+\color{indigo}{qhx}+...\]

And finally
L-LAST TERMS
\[\Large (px + \color{green}h)(qx +\color{green}k)=pqx^2+pkx+qhx+\color{green}{hk}\]



And there you have it, the FOIL method
\[\LARGE \color{blue}{(px+h)(qx+k)=pqx^2+pkx+qhx+hk}\]

Answer 4

\[(x − 5)(2x + 3)\]\[x(2x+3)-5(2x+3)\]\[2x^2+3x-10x-15\]\[2x^2-7x-15\]Standard form\[ax^2+bx+c\]