Given:
Multiply: [tex](3x-5)(-x+4)[/tex].
To find:
The simplified product in standard form.
Solution:
We have,
[tex](3x-5)(-x+4)[/tex]
Applying the distributive property, the expression becomes
[tex]=(3x)(-x)+(3x)(4)+(-5)(-x)+(-5)(4)[/tex]
[tex]=(-3x^2)+12x+5x+(-20)[/tex]
On combining like terms, we get
[tex]=-3x^2+(12x+5x)-20[/tex]
[tex]=-3x^2+17x-20[/tex]
Therefore, the simplified product in standard form is [tex]-3x^2+17x-20[/tex].
