$62 is both numbers added together
Answer:
we have:
8x³ + mx² - 6x + n
= 8x³ - 8x² + (m + 8)x²- (m + 8)x + (m + 2)x - (m + 2) + m + 2+ n
= 8x²(x - 1) + (m + 8)x(x - 1) + (m + 2)(x - 1) + (m + n + 2)
= (x - 1)[8x² + (m + 8)x + m + 2] + (m + n + 2)
because the remainder if divided by (x-1) is 2
=> m + n + 2 = 2
⇔ m + n = 0 (1)
we also have:
8x³ + mx² - 6x + n
= 8x³ - 12x² + (m + 12)x² - 3/2.x.(m + 12) + ( 12 + 3/2.m)x - (9/4.m + 18) + n +9/4m + 18
= 4x²(2x - 3) + 1/2.(m + 12)x(2x - 3) + (3/2m + 12).1/2.(2x - 3) + 9/4m + n + 18
= (2x - 3)(4x² + (m + 12)/2.x + 3/4m + 6) + 9/4m + n + 18
because the remainder if divided by (2x - 3) is 8
=> 9/4m + n + 18 = 8
⇔ 9/4m + n = -10 (2)
from (1) and (2), we have:
m + n = 0
9/4m + n = -10
=> m = -8
n = 8
Step-by-step explanation:
Answer:
First, you need to know how to multiply two monomials together. A monomial is a one term polynomial.
2x × 5x, 2x²y × 3xy², and ab² × 4b³ are examples of products of monomials.
To multiply monomials together, multiply the number parts together and multiply the variables together.
Here are the 3 examples above solved:
2x × 5x = 10x²
2x²y × 3xy² = 6x³y³
ab² × 4b³ = 4ab^5
To multiply two polynomials together, multiply every term of the first polynomial by every term of the second polynomial. then combine like terms.
Example:
(2x² + 3x - 8)(4x³ - 5x²) =
= 2x² × 4x³ + 2x² × (-5x²) + 3x × 4x³ + 3x × (-5x²) - 8 × 4x³ - 8 × (-5x²)
= 8x^5 - 10x^4 + 12x^4 - 15x³ - 32x³ + 40x²
= 8x^5 + 2x^4 - 47x³ + 40x²
This is a lot of material in very little space. You need to start with simple examples of multiplication of 2 monomials. Then practice multiplying a monomial by a binomial. Then practice with polynomials of more terms.
Answer:
there no picture attached
Step-by-step explanation:
The original figure will be enlarged by the dilation.
The image and the pre-image will be similar figures.
The corresponding angles of the figures will be congruent.
<h3>What is
dilation?</h3>
Dilation is the increase or decrease in the size of a figure by a scale factor k. Dilation produces similar shapes.
If k > 1, this is an enlargement, if k < 1, it is a reduction.
Trevor is dilating a figure on the coordinate plane by a scale factor of 9/5 (>1). Hence:
The original figure will be enlarged by the dilation.
The image and the pre-image will be similar figures.
The corresponding angles of the figures will be congruent.
Find out more on dilation at: brainly.com/question/10253650
