What is x^2 - 8 factored?Difference of two squares:The difference between two squares involves only two terms that are squared. This means that in getting the factors of this type of binomial, there is a need to determine first the square root of the first and last terms. Since the ...
Learn to define what a quadratic equation is. Discover the quadratic function formula and express quadratic functions in standard, factored and vertex forms. Related to this Question Solve for x: x^2 - 5 x + 5 = 0. Solve for x: x^2 - 7x + 10 = 0 ...
x(x+4)+4(x+4) Step 6: Factor out the common binomialNow, we notice that (x+4) is common in both terms:(x+4)(x+4) Step 7: Write the final factored formThus, we can write the expression as:(x+4)2 Final Answer:The factorised form of x2+8x+16 is:(x+4)2 --- Show ...
- Thus, x2−8x+15=(x−3)(x−5). 2. For x2−25: - This is a difference of squares, which can be factored as: - x2−25=(x−5)(x+5). Step 2: Rewrite the expression with factored denominatorsNow we can rewrite the original expression using the factored forms: 1(x...
Since8iswith respect tox, theof8xx2-4with respect toxis8ddx[xx2-4]. f′(x)=8ddx(xx2-4) Differentiate using thewhich states thatddx[f(x)g(x)]isg(x)ddx[f(x)]-f(x)ddx[g(x)]g(x)2wheref(x)=xandg(x)=x2-4. f′(x)=8((x2-4)ddx(x)-xddx(x2-4)(x2-4)2) ...
x2 + 8x - 9 is a quadratic expression that describes a parabolic function. It can be factored out as: (x + 9)(x - 1) Which tells us that if we graphed it as a function of x, it would intersect the x-axis at the points (-9, 0) and (1, 0). It's derivative
Simplify {eq}x^2 + 1. {/eq} The Fundamental Theorem of Algebra: The Fundamental Theorem of Algebra says that any polynomial with real valued coefficients can always be factored over the complex numbers. It is not true that such a polynomial can always be factored over the real numbers. ...
Find the value of k so that the parabola y = x^2 + kx + 100 has only one x- intercept. What is 4x^2+9 be in factored form? Solve the following system of equation using the linear combination: x + 2y = -7 \\ 3x - 8y = 7 ...
For example, the factored form of displaystyle5x³-5 is displaystyle5(x-1)left(x²+x+1right) over the integers and the reals, and displaystyle5(x-1)left(x+frac1+isqrt32right)left(x+frac1-isqrt32right) over the complex numbers. The computation of the factored ...
Add 4 to both sides of the equation : x = 4 Supplement : Solving Quadratic Equation Directly Solving x2-8x+16 = 0 directly Earlier we factored this polynomial by splitting the middle term. let us now solve the equation by Completing The Square and by using the Quadratic Formula...