What are the factor of $2 x^{2} + 7 x - 15$ ?

2 x - 3

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2 x + 3

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x - \frac{3}{2}

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x + 5

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Solution

The correct options are
A $2 x - 3$
C $x - \frac{3}{2}$
D $x + 5$
it is a quadratic equation hence we use discriminant formulae
$a = 2; b = 7; c = - 15$
$D = b^{2} - 4 a c = 169$
roots are $\frac{- b + \sqrt{D}}{2 a} = 1.5$ and $\frac{- b - \sqrt{D}}{2 a} = - 5$
hence , $2 x^{2} + 7 x - 15 = (2 x - 3) (x + 5)$

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Factorize $2 x^{2} - 7 x + 5 = 0$

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Find the discriminant of each of the following equations :
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What is the factorization of $2 x^{2} - 7 x - 15$ ?

Q. Solve the equations:

\frac{3 x^{4} + x^{2} - 2 x - 3}{3 x^{4} - x^{2} + 2 x + 3} = \frac{5 x^{4} + 2 x^{2} - 7 x + 3}{5 x^{4} - 2 x^{2} + 7 x - 3}

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What are the factor of 2x2+7x−15?

The correct options are A 2x−3 C x−32 D x+5it is a quadratic equation hence we use discriminant formulaea=2;b=7;c=−15 D=b2−4ac=169roots are −b+√D2a=1.5 and −b−√D2a=−5hence ,2x2+7x−15=(2x−3)(x+5)

What are the factor of $2 x^{2} + 7 x - 15$ ?