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Monica [59]
1 year ago
12

Factoring PolynomialsFind the roots of a quadratic equation with leading coefficient greater than 1

Mathematics
1 answer:
musickatia [10]1 year ago
4 0
4v^2+12v+9=0

on this point we can use the formula to factor

v=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}

where a is 4, b is 12 and c is 9

replacing

v=\frac{-(12)\pm\sqrt[]{(12)^2-4(4)(9)}}{2(4)}

and solving

\begin{gathered} v=\frac{-12\pm\sqrt[]{144-144}}{8} \\  \\ v=\frac{-12\pm\sqrt[]{0}}{8} \\  \\ v=-\frac{12}{8}=-\frac{3}{2} \end{gathered}

The root is

-\frac{3}{2}

then the polynomial has one root -3/2 if we rewrite the polynomial is

(v+\frac{3}{2})^2=0

or

(2v+3)^2=0

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