What Theorems or Formulas did Rene Descartes invent and an example of a problem and solution.?

Answer 1

Descartes' rule of signs is a technique for determining the number of positive or negative roots of a polynomial.

The rule states that if the terms of a single-variable polynomial with real coefficients are ordered by descending variable exponent, then the number of positive roots of the polynomial is either equal to the number of sign differences between consecutive nonzero coefficients, or less than it by a multiple of 2. Multiple roots of the same value are counted separately.

Answer 2

Q: Who won the skeleton beauty contest? A: No body Q: What do skeletons say before they begin dining? A: Bone appetit ! Q: When does a skeleton laugh? A: When something tickles his funny bone. Q: Why didn't the skeleton dance at the Halloween party? A: It had no body to dance with. Q: What type of art do skeletons like? A: Skull tures Q: What did the skeleton say when his brother told a lie? A: You can't fool me, I can see right through you. Q: What did the skeleton say while riding his Harley Davidson motorcycle? A: I'm bone to be wild! Q: Why didn't the skeleton dance at the party? A: He had no body to dance with. Q: What do you give a skeleton for valentine's day? A: Bone-bones in a heart shaped box. Q: Who was the most famous skeleton detective? A: Sherlock Bones. Q: Who was the most famous French skeleton? A: Napoleon bone-apart Q: What instrument do skeletons play? .A: Trom-BONE. Q: What does a skeleton orders at a restaurant? A: Spare ribs!!! Q: When does a skeleton laugh? A: When something tickles his funny bone. Q: Why didn't the skeleton eat the cafeteria food? A: Because he didn't have the stomach for it! Q: Why couldn't the skeleton cross the road? A: He didn't have the guts. Q: Why are skeletons usually so calm ? A: Nothing gets under their skin ! Q: Why do skeletons hate winter? A: Beacuse the cold goes right through them ! Q: Why are graveyards so noisy ? A: Beacause of all the coffin ! Q: Why didn't the skeleton go to the party ? A: He had no body to go with ! Q: What happened when the skeletons rode pogo sticks ? A: They had a rattling good time ! Q: Why did the skeleton go to hospital ? A: To have his ghoul stones removed ! Q: How did the skeleton know it was going to rain ? A: He could feel it in his bones ! Q: What's a skeleton's favourite musical instrument ? A: A trom-bone ! Q: How do skeletons call their friends ? A: On the telebone ! Q: What do you call a skeleton who won't get up in the mornings ? A: Lazy bones ! Q: What do boney people use to get into their homes ? A: Skeleton keys ! Q: What do you call a skeleton who acts in Westerns ? A: Skint Eastwood ! Q: What happened to the boat that sank in the sea full of piranha fish ? A: It came back with a skeleton crew ! Q: What do you call a skeleton snake ? A: A rattler !