Question

What is f(x)=(x+2)(x-5) in standard form

Answer 1

f(x)=x²−3x−10

Explanation:

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

f(x)=ax2+bx+c

Expand: (x+2)(x−5) using the FOIL Method.

Apply the distributive property.

f(x)=x(x−5)+2(x−5)

Apply the distributive property.

f(x)=x⋅x+x⋅−5+2(x−5)

Apply the distributive property.

f(x)=x⋅x+x⋅−5+2x+2⋅−5

Simplify and combine like terms.

Simplify each term.

f(x)=x2−5x+2x−10

Add −5x and 2x

f(x)=x²−3x−10

I really hope this helps! :)

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