Factor the following:
6 x^2 - 19 x + 10
Factor the quadratic 6 x^2 - 19 x + 10. The coefficient of x^2 is 6 and the constant term is 10.
The product of 6 and 10 is 60. The factors of 60 which sum to -19 are -4 and -15.
So 6 x^2 - 19 x + 10 = 6 x^2 - 15 x - 4 x + 10 = 2 x (3 x - 2) - 5 (3 x - 2):
2 x (3 x - 2) - 5 (3 x - 2)
Factor 3 x - 2 from 2 x (3 x - 2) - 5 (3 x - 2):
Answer: (3 x - 2) (2 x - 5)
Answer:
C = 5.25 + 0.50H
Step-by-step explanation:
gah, I'm never sure how to explain my work in these sorts of problems. hopefully I was able to help anyways!
The quadratic function h(x) = x² - 3x + 6 has 2 roots.
A polynomial is an expression consisting of the operations of addition, subtraction, multiplication of variables.
Polynomials are classified based on degree as linear, quadratic, cubic etc.
A quadratic polynomial has a degree of 2, hence it has only 2 roots.
The quadratic function h(x) = x² - 3x + 6 has 2 roots.
Find out more on polynomial at: brainly.com/question/2833285
Answer: 9’ 9”
Step-by-step explanation:
Answer: D
Step-by-step explanation:
Yeah, lets look at each of the functions. I'll refer to them as A, B, C, D, and E.
A) f(x)=x^2-16
This has two zero. x^2-16= (x+4)(x-4), which two zeroes include -4 and 4.
Here we introduce an important concept, if the function isn't a perfect square, and is a quadratic, it has two zeroes.
B) This is linear, so it obviously has 1 zero.
C) Two zeroes, because it isn't a perfect square.
D) x^2-10x+25 = (x-5)^2, so it has only one zero.
E) Not a perfect square, so two roots.