
Polynomial Plots
Watch out for those sneaky values!
Polynomials at a value ยท Class 9

Polynomial Plots
Watch out for those sneaky values!
Mathville. Momo solves the puzzle.
Momo: Todayโs polynomial is easy! Just plug in x = 2.
Baron Blunder: 2? So simple! 2 is always 2!
Momo: But what if the 2 is in the middle of a 2x? Huh?
Polynomials at a value
Put number in for x.
Do math, get number.
Like magic with nums.
Momo: Okay! Todayโs polynomial is easy. Just put 2 in for x!
Baron Blunder: Like 3x + 2? 3 times 2 plus 2 makes 8!
Momo: Like 2x + 1? 2 times 2, then add 1. Itโs 5!
2 ร 2 = 4
4 + 1 = 5
Easy as 1, 2, 3!
Momoโs method
Write down the poly.
Replace x with num.
Do math, check work.
Momo: Write the polynomial, substitute, solve like a puzzle.
Your turn, hero!

For 2x + 3, if x = 3, whatโs the value?
9. 2 ร 3 = 6, 6 + 3 = 9.
Baron Blunder: Ha! 2x + 1? 2 times 2 plus 1 makes 5! Magic!
If 5x - 2 = 13, whatโs x?
3. 5 ร 3 - 2 = 15 - 2 = 13.
The final battle

In x^2 + 4x + 4 when x = -2, whatโs the total?
0. -2 ร -2 = 4, 4 ร -2 = -8, 4 + -8 + 4 = 0.
Baron Blunder: 2x + 1? Thatโs it? 5 is 5! Duh!
Momo: No tricks! 2x + 1 equals 5 when x equals 2.
The vault opens, and Momo smiles. Mathville is safe. Again.
The End?

Villain card won! Answer again in a few days and it turns gold.
Remember
But wait! x is hiding somewhere. Who will find it first?
A comic book about Polynomials at a value. Follow Momo, learn the idea, and answer three questions to beat Baron Blunder.