Could someone check my work? Thanks.
P(-3) = 4×^3 - 5x^2 + 7x -10
-12^3 + 15^2 - 21 - 10
-1728 + 225 - 31
-1503 - 31 = -1534
Mou first do mathematical operation with x then multiply.
If your expression mean
4 x³ - 5 x² + 7 x - 10
then:
4 ∙ ( - 3 )³ - 5 ∙ ( - 3 ) ² + 7 ∙ ( - 3 ) - 10 =
4 ∙ ( - 27 ) - 5 ∙ 9 - 21 - 10 =
-108 - 45 - 21 - 10 = - 184
So I wouldn't multiply the coefficients by -3 first?
You not Mou
Okay, I understand now. Thank you so much for your help; now I know not to make that mistake again when solving these types of problems. :)
To check your work for evaluating the given polynomial expression, you need to substitute the given value of x into the expression and simplify it.
Let's go step by step:
1. Start with the given polynomial expression: P(x) = 4x^3 - 5x^2 + 7x - 10.
2. Substitute x = -3 into the expression:
P(-3) = 4(-3)^3 - 5(-3)^2 + 7(-3) - 10.
3. Evaluate the powers of -3 first:
P(-3) = 4(-27) - 5(9) - 21 - 10.
4. Simplify the multiplications:
P(-3) = -108 - 45 - 21 - 10.
5. Combine the like terms:
P(-3) = -108 - 45 - 21 - 10 = -184.
Therefore, the correct answer is P(-3) = -184, not -1534 as you calculated.