Multiply the polynomials using FOIL. (4x+7)(−x+6)\left(4x+7\right)\left(-x+6\right)(4x+7)(−x+6)

− 4 x 2 + 17 x + 42 -4x^2+17x+42 − 4 x 2 + 17 x + 42

Multiply the polynomials using FOIL. ( 4 x + 7 ) ( − x + 6 ) \left(4x+7\right)\left(-x+6\right) ( 4 x + 7 ) ( − x + 6 )

Hey, everyone. So in this problem, we're gonna be multiplying these polynomials by using the foil method. Hopefully, you got it right. Let's go ahead and check this out here. So remember, the foil method means we're gonna do first. So in other words, we're gonna do the 4 x and the negative x over here. So 4 x and negative x becomes negative 4x squared. Then we do the outer terms. Outer terms are 4x and the positive 6. So this just becomes plus 24x. Now, we do the inner terms. The inner terms are 7 and negative x always use the sign that's before so 7 and negative x becomes negative 7x and then finally the last two terms over here 76 becomes 42. Now we just combine like terms and then we're done. So this is just gonna be negative 4 x squared And then we combine the 24 and the negative 7 to become plus 17x, and then we have the plus 42 over here. Alright. So that's what this expression turned out to be when you foil it. Hopefully, you got that one right. Let me know if you have any questions. Thanks for watching.