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What is the standard form of #y=(x + 21)(x + 1) #?

Answer 1

See a solution process below.

To transform this equation to the standard for we must multiply the two terms on the right. To multiply these two terms you multiply each individual term in the left parenthesis by each individual term in the right parenthesis.

#y = (color(red)(x) + color(red)(21))(color(blue)(x) + color(blue)(1))# becomes:

#y = (color(red)(x) xx color(blue)(x)) + (color(red)(x) xx color(blue)(1)) + (color(red)(21) xx color(blue)(x)) + (color(red)(21) xx color(blue)(1))#

#y = x^2 + 1x + 21x + 21#

We can now combine like terms:

#y = x^2 + (1 + 21)x + 21#

#y = x^2 + 22x + 21#

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Answer 2

Jameson Allen

The standard form of the given equation y = (x + 21)(x + 1) is: y = x^2 + 22x + 21

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.