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soldi70 [24.7K]
3 years ago
15

What is the discriminant of the polynomial?2x^2+5x-8​

Mathematics
1 answer:
12345 [234]3 years ago
5 0

▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

Let's find the discriminant (D) of the given polynomial ~

Let's compare the given quadratic expression with general expression ~

\boxed{ \boxed{ \sf {ax}^{2} +b x + c }}

we get ;

  • \sf \: a = 2
  • \sf \: b = 5
  • \sf \: c =  - 8

Now, use the following formula :

\qquad \sf  \dashrightarrow \: D = b² - 4ac

\qquad \sf  \dashrightarrow \: D = (5) {}^{2}  - (4 \times 2 \times ( - 8))

\qquad \sf  \dashrightarrow \: D = 25 - ( - 64)

\qquad \sf  \dashrightarrow \: D = 25 + 64

\qquad \sf  \dashrightarrow \: D = 89

Therefore, discriminant of the given quadratic expression is 89

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