What is the standard form of # y= (3x – 7) (3x – 2) #?

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Answer 1 · 2016-01-14T23:27:06

#y = 9x^2 - 27x + 14#

The standard form of a polynomial of degree #n# with coefficients #a_n# is:

y = #a_nx^n + a_(n-1)x^(n-1) + ... + a_1x + a_0#

For a degree #2# (quadratic) polynomial, this is

#y = a_2x^2 + a_1x + a_0#

or the more familiar

#y = ax^2 + bx + c#

To change it from its factored form to the standard form, we simply multiply and combine like terms.

#(3x - 7)(3x - 2) = 9x^2 - 6x - 21x + 14#
# = 9x^2 - 27x +14#