9514 1404 393
Answer:
y = -3x^2 -9x +30
Step-by-step explanation:
When a polynomial has a zero at x=p, it has a factor of (x -p). The factors of your quadratic are ...
f(x) = (x +5)(x -2)
At the point x=3, the value of this product is ...
f(3) = (3 +5)(3 -2) = (8)(1) = 8
In order for that value to be -24, it needs to be multiplied by a scale factor of -3. The quadratic you want is ...
y = -3(x +5)(x -2)
y = -3x^2 -9x +30 . . . . . standard form
Plug in -3 for x
f(-3) = 2(-3) - (-3 + 6)
f(-3) = -6 - (3)
f(-3) = -9
Solution: f(-3) = -9
-8/5 is a rational number because in order to be a rational number it must be able to be written as a fraction. -8/5 is a fraction; therefore, the negative does not affect it.
Answer:
( x + 4 ) ( 3x + 1 )
Step-by-step explanation:
→ Identify the product, sum & factors
Product = 4
Sum = 13
Factors = 4 & 1
3x² + 12x + x + 4
→ Factorise 3x² + 12x and x + 4
3x² + 12x ⇔ 3x ( x + 4 )
x + 4 ⇔ 1 ( x + 4 )
→ Take out the ( x + 4 ) as a factor and ( 3x + 1 )
( x + 4 ) ( 3x + 1 )
Answer:
I think 3 or 4 I don't know which one
