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Okay, starting with polynomials! It sounds like a big topic, but it's cool that they're breaking it down by first defining 'terms'. That makes a lot of sense as a starting point.

Ah, so 'coefficient' is the number part and it's multiplied by the variable part. I like how they explain that the multiplication is implied by just writing them next to each other. That's a key detail.

Got it, the variable part can be one or more variables, and they can have exponents. The example of 'x squared' is clear, and it's helpful that they remind us 'y' is the same as 'y to the first power'.

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Mathematical "terms" form the building blocks of algebraic expressions [0:00]. Each term consists of a number part, known as the coefficient, and a variable part, which can be one or more variables raised to a power [0:30, 1:00]. For example, in the term '5x²', the coefficient is 5 and the variable part is 'x squared' [0:30]. When a variable is written alone, like 'y', it's understood to be 'y' to the first power, and if it's missing a coefficient, it's implied to be 1 [1:00, 3:30]. Terms can also include variables raised to the power of zero, which always equals 1 and are referred to as constant terms [4:00].

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