Area = 91 in²
Step-by-step explanation:
Hope it helps you!
Answer:
b = 1, c = -1 and d = 4
Step-by-step explanation:
To solve this question the rule of multiplicity of a polynomial is to be followed.
If the multiplicity of a polynomial is even at a point, graph of the polynomial will touch the x-axis.
If the multiplicity of the polynomial is odd, graph will cross the x-axis at that point.
From the graph of function 'f',
f(x) = (x - b)(x - c)²(x - d)³
Since, graph of the function 'f' crosses x-axis at x = 1 and x = 4, multiplicity will be odd and touches the x-axis at x = -1 multiplicity will be even.
So the function will be,
f(x) = (x - 1)[x - (-1)]²(x - 4)³
Therefore, b = 1, c = -1 and d = 4 will be the answer.
Answer:
Step-by-step explanation:

Hence proved!
Answer:
2x + 10
Step-by-step explanation:
To expand (using the distributive property) <u>multiply</u> the number outside the bracket i.e. in this case '2', with the <u>values inside the brackets</u>.
So multiply '2' and 'x' and '2' and 5' and add or subtract on basis of whether the second value is positive or negative.
So
2(x + 5)
= (2*x)+(2*5)
=2x+10
<em>extention note:</em> <u>be careful</u> when the symbol within the equation within the brackets is a subtraction because it implies that the second value would instead be a negative number and should be treated as such.
an example
2(x-5)
= (2*x)+(2*-5)
=2x -10
Anyhow, I hope this helped!