Factor the trinomial below. x2 – 3x – 40 a. (x + 5)(x + 8) b. (x + 5)(x – 8) c. (x – 5)(x – 8) d. (x – 5)(x + 8)

B. (x + 5)(x – 8)

Step-by-step explanation:

For any given quadratic expression, consider it along side the general form of a quadratic equation ax² + bx + c = 0

To factorize, the factors of the product of a and c will have to add up to give a sum equivalent to b. Then an only then can the expression be factorized.

For x2 – 3x – 40

a = 1, b= -3 and c = -40

The product of a and c is -40 and the factors of this product that add up to b are - 8 and 5. Therefore;

x2 – 3x – 40 = x2 – 8x + 5x – 40

= x(x - 8) +5(x - 8)

= (x -8)(x + 5)

look at the picture.

y-intercept for the function on a picture is 4 → point (0, 4).

y-intercept for the function

is for x = 0. substitute:

y-intercept is 8 → point (0, 8).

step-by-step explanation:

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