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What is the standard form of a polynomial # (-3h - 4)(4h - 3) #?

Answer 1

See the entire solution process below:

To convert this expression to the standard form we must multiply the two terms. To multiply these two terms you multiply each individual term in the left parenthesis by each individual term in the right parenthesis.

#(color(red)(-3h) - color(red)(4))(color(blue)(4h) - color(blue)(3))# becomes:

#(color(red)(-3h) xx color(blue)(4h)) + (color(red)(3h) xx color(blue)(3)) - (color(red)(4) xx color(blue)(4h)) + (color(red)(4) xx color(blue)(3))#

#-12h^2 + 9h - 16h + 12#

We can now combine like terms:

#-12h^2 + (9 - 16)h + 12#

#-12h^2 + (-7)h + 12#

#-12h^2 - 7h + 12#

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Answer 2

Eva Adamson

The standard form of the polynomial (-3h - 4)(4h - 3) is: -12h^2 + 9h + 12h - 9. Simplifying further, it becomes: -12h^2 + 21h - 9.

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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.