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3 years ago

Find the following product (x+3)(x-4)

Mathematics

2 answers:

egoroff_w [7]3 years ago

8 0

X^2-x-12 is the anwer

Ivahew [28]3 years ago

5 0

You must to the foil method, first, outer, inner, and last

(x+3)(x-4)

x^2-4x+3x-12

Simplify

x^2-x-12

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umka2103 [35]

Answer:

The answer is C

Step-by-step explanation:

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3 years ago

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Evaluate the expression.

Firlakuza [10]

Step-by-step explanation:

the expression 5²=25

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2 years ago

2x^3-x^2+x-2 factorize

bekas [8.4K]

Answer:

$(x-1)(2x^2+x+2)$

Step-by-step explanation:

Factorize:

$f(x)=2x^3-x^2+x-2$

<u>Factor Theorem</u>

If f(a) = 0 for a polynomial then (x - a) is a factor of the polynomial f(x).

Substitute x = 1 into the function:

$\implies f(1)=2(1)^3-1^2+1-2=0$

Therefore, (x - 1) is a factor.

As the polynomial is cubic:

$\implies f(x)=(x-1)(ax^2+bx+c)$

Expanding the brackets:

$\implies f(x)=ax^3+bx^2+cx-ax^2-bx-c$

$\implies f(x)=ax^3+(b-a)x^2+(c-b)x-c$

Comparing coefficients with the original polynomial:

$\implies ax^3=2x^3 \implies a=2$

$\implies (b-a)x^2=-x^2 \implies b-2=-1 \implies b=1$

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Therefore:

$\implies f(x)=(x-1)(2x^2+x+2)$

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2 years ago

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Amanda [17]

Answer:

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Step-by-step explanation:

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3 years ago

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Alla [95]

Answer:

y = - $\frac{5}{6}$ x + 9

Step-by-step explanation:

0.5x + 0.6y = 5.4

0.6y = -0.5x + 5.4

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6y = -5x + 54

Divide 6 on all sides.

y = - $\frac{5}{6}$ x + 9

7 0

2 years ago